Matrices & Determinants Questions and Answers

A survey is done in London and people are questioned in 6 out of 32 neighborhoods Systematic Stratified Cluster Simple Random
Algebra
Matrices & Determinants
A survey is done in London and people are questioned in 6 out of 32 neighborhoods Systematic Stratified Cluster Simple Random
You may need to use the appropriate technology to answer this question Develop the analysis of variance computations for the following completely randomized design At a 0 05 is there a significant difference between the treatment means A 136 119 113 107 130 114 130 95 xj 2 s 186 29 118 Treatment B 108 113 125 104 106 110 98 113 105 88 107 C 91 82 86 101 88 116 111 119 99 97 99 95 78 164 89
Algebra
Matrices & Determinants
You may need to use the appropriate technology to answer this question Develop the analysis of variance computations for the following completely randomized design At a 0 05 is there a significant difference between the treatment means A 136 119 113 107 130 114 130 95 xj 2 s 186 29 118 Treatment B 108 113 125 104 106 110 98 113 105 88 107 C 91 82 86 101 88 116 111 119 99 97 99 95 78 164 89
nd the solution set of each linear system Identify inconsistent systems and dependent equation x 3y z 20 x 4y z 18 x 3y 4z 19
Algebra
Matrices & Determinants
nd the solution set of each linear system Identify inconsistent systems and dependent equation x 3y z 20 x 4y z 18 x 3y 4z 19
Reduce the matrix to reduced row echelon form A 1 0 1 1 0
Algebra
Matrices & Determinants
Reduce the matrix to reduced row echelon form A 1 0 1 1 0
We can find the remainder for the quotient using either substitution or synthetic division as discussed in class Using either method explain whether or not we can conclude that x 5 is a factor of the polynomial f x x 17 15 Show your work process to find the remainder Your answer must include what that remainder value is and if it indicates x 5 is a factor or not
Algebra
Matrices & Determinants
We can find the remainder for the quotient using either substitution or synthetic division as discussed in class Using either method explain whether or not we can conclude that x 5 is a factor of the polynomial f x x 17 15 Show your work process to find the remainder Your answer must include what that remainder value is and if it indicates x 5 is a factor or not
Find the slope of each line 1
Algebra
Matrices & Determinants
Find the slope of each line 1
Graph g x 4 cosa Use 3 14 for T Use the sine tool to graph the function Graph the function by plotting two points The first point must be on the midline and closest t the origin The second point must be a maximum or minimum value on the graph closest to the first point Sine 6 28 Move 4 71 3 14 1 57 3 g x 2 1 0 1 Undo 2 1 57 Redo 3 14 x Reset 4 71 6 28
Algebra
Matrices & Determinants
Graph g x 4 cosa Use 3 14 for T Use the sine tool to graph the function Graph the function by plotting two points The first point must be on the midline and closest t the origin The second point must be a maximum or minimum value on the graph closest to the first point Sine 6 28 Move 4 71 3 14 1 57 3 g x 2 1 0 1 Undo 2 1 57 Redo 3 14 x Reset 4 71 6 28
If A B are symmetric matrices and AB BA then AB is also sym Select one True O False
Algebra
Matrices & Determinants
If A B are symmetric matrices and AB BA then AB is also sym Select one True O False
1 If A 0 0 0 Select one O True 1 1 1 1 0 1 1 then Nullity A 0 1
Algebra
Matrices & Determinants
1 If A 0 0 0 Select one O True 1 1 1 1 0 1 1 then Nullity A 0 1
If A B are symmetric matrices and AB BA then AB is also symmetri Select one O True 0 False
Algebra
Matrices & Determinants
If A B are symmetric matrices and AB BA then AB is also symmetri Select one O True 0 False
adj of matrix A Select one 7 3 1 b 3 C 4 21 3 1 12 34
Algebra
Matrices & Determinants
adj of matrix A Select one 7 3 1 b 3 C 4 21 3 1 12 34
Find X and Y if 5 3 4 6 3 2 7 7 Y 3 1 15 14 X Select one a X 2 Y 9 b X 1 2 Y 9 c X 2 Y 1 9 d X 2 Y 9
Algebra
Matrices & Determinants
Find X and Y if 5 3 4 6 3 2 7 7 Y 3 1 15 14 X Select one a X 2 Y 9 b X 1 2 Y 9 c X 2 Y 1 9 d X 2 Y 9
If A 34 23 Select one a b C 1 d 1 1 2 1 1 1 1 2 1 1 B 1 JINE NIH 2 2 0 1 then A B i 19
Algebra
Matrices & Determinants
If A 34 23 Select one a b C 1 d 1 1 2 1 1 1 1 2 1 1 B 1 JINE NIH 2 2 0 1 then A B i 19
A 6 7 38 8 235 6 31 Find 3A 2B Select one a 3 2 19 12 3 14 19 3 2 19 12 3 14 3 2 19 12 3 14 d 3 2 19 12 3 14
Algebra
Matrices & Determinants
A 6 7 38 8 235 6 31 Find 3A 2B Select one a 3 2 19 12 3 14 19 3 2 19 12 3 14 3 2 19 12 3 14 d 3 2 19 12 3 14
If the vectors V V V3 V4 span R then they form abasis of R Select one True False
Algebra
Matrices & Determinants
If the vectors V V V3 V4 span R then they form abasis of R Select one True False
If the vectors V V V3 V span R then they form abasis of R Select one False
Algebra
Matrices & Determinants
If the vectors V V V3 V span R then they form abasis of R Select one False
If V V V3 V are vectors in R then they must be linearly dependent Select one True
Algebra
Matrices & Determinants
If V V V3 V are vectors in R then they must be linearly dependent Select one True
The matrix A Select one True False Isin 0 Lcos A Cos 0 sin is singular for some 0
Algebra
Matrices & Determinants
The matrix A Select one True False Isin 0 Lcos A Cos 0 sin is singular for some 0
If A 0 0 10 Select one True False 1 1 01 1 1 then Rank A 3
Algebra
Matrices & Determinants
If A 0 0 10 Select one True False 1 1 01 1 1 then Rank A 3
A homogenous linear system AX 0 of two equations and thre unknowns may have a unique solution Select one O True
Algebra
Matrices & Determinants
A homogenous linear system AX 0 of two equations and thre unknowns may have a unique solution Select one O True
Find X if A is a symmetric matrix 4 x 2 2x 3 x 1 A Select one 2 a x 0 0 b x 4 d x 1
Algebra
Matrices & Determinants
Find X if A is a symmetric matrix 4 x 2 2x 3 x 1 A Select one 2 a x 0 0 b x 4 d x 1
equals to Select one 1 a BA 25 5 A B d A 8 B
Algebra
Matrices & Determinants
equals to Select one 1 a BA 25 5 A B d A 8 B
If A is 2x2 matrix such that det A 3 then det A A 1 Select one O True O False
Algebra
Matrices & Determinants
If A is 2x2 matrix such that det A 3 then det A A 1 Select one O True O False
For a 3 x 3 system with coefficient matrix A if rank A 2 then the system can t have unique solution Select one O True O False
Algebra
Matrices & Determinants
For a 3 x 3 system with coefficient matrix A if rank A 2 then the system can t have unique solution Select one O True O False
If A is an nxn invertible matrix then Select one 1 O a A 1 det A adj A O O O 1 b A adj A det A c A 1 det A adj A 1 d A det A adj A
Algebra
Matrices & Determinants
If A is an nxn invertible matrix then Select one 1 O a A 1 det A adj A O O O 1 b A adj A det A c A 1 det A adj A 1 d A det A adj A
If A B are symmetric matrices and AB BA then AB is also symmetric Select one O True O False
Algebra
Matrices & Determinants
If A B are symmetric matrices and AB BA then AB is also symmetric Select one O True O False
If the vectors V V V3 V4 V5 Span R4 then they are linearly independent Select one True O False
Algebra
Matrices & Determinants
If the vectors V V V3 V4 V5 Span R4 then they are linearly independent Select one True O False
Let A 3 2 2 2 Then the sum of the eigen values of A 1 Select one O True O False
Algebra
Matrices & Determinants
Let A 3 2 2 2 Then the sum of the eigen values of A 1 Select one O True O False
The determine of 5 0 101 25 30 40 L 15 5 20 Select one O 1 5 5 4 5 a LO 02 6 8 3 1 4 b 102 5 68 3 14 9 1 55 68 3 1 4 d 02 102 6 8 3 1 4 5 5
Algebra
Matrices & Determinants
The determine of 5 0 101 25 30 40 L 15 5 20 Select one O 1 5 5 4 5 a LO 02 6 8 3 1 4 b 102 5 68 3 14 9 1 55 68 3 1 4 d 02 102 6 8 3 1 4 5 5
let A 1 x 1 7 x 1 0 x O O O 0 0 Select one a x 6 only b x 1 or x 0 c x 1 only d x 1 or x 0 if det A 0 then value of x
Algebra
Matrices & Determinants
let A 1 x 1 7 x 1 0 x O O O 0 0 Select one a x 6 only b x 1 or x 0 c x 1 only d x 1 or x 0 if det A 0 then value of x
5 54 54 55 55 56 57 OOO Select one i in b 25 OC 0
Algebra
Matrices & Determinants
5 54 54 55 55 56 57 OOO Select one i in b 25 OC 0
Let A be a 3x3 matrix with eigen values 2 5 3 Then det A 30 Select one O True O False
Algebra
Matrices & Determinants
Let A be a 3x3 matrix with eigen values 2 5 3 Then det A 30 Select one O True O False
Let W be the set of singular matrices of order 2x2 Then W is a subspace R x2 Select one O True O False
Algebra
Matrices & Determinants
Let W be the set of singular matrices of order 2x2 Then W is a subspace R x2 Select one O True O False
det A B det A det B Select one O True O False
Algebra
Matrices & Determinants
det A B det A det B Select one O True O False
If A is an nxn invertible matrix then Select one O a A 0 det A adj A b A adj A det A c A 1 det A adi A d A 1 det A adj A
Algebra
Matrices & Determinants
If A is an nxn invertible matrix then Select one O a A 0 det A adj A b A adj A det A c A 1 det A adi A d A 1 det A adj A
80 2 2 A 4 2 B 4 2 HB 36 5 1 Find X such that 2A 3X 5B Select one O a 2 10 3 14 3 4 13 3 7 3 O b 2 10 3 4 31 3 14 3 7 3 2 4 10 3 14 3 31 3 7 3 O d 2 10 3 4 14 3 31 3 7 3
Algebra
Matrices & Determinants
80 2 2 A 4 2 B 4 2 HB 36 5 1 Find X such that 2A 3X 5B Select one O a 2 10 3 14 3 4 13 3 7 3 O b 2 10 3 4 31 3 14 3 7 3 2 4 10 3 14 3 31 3 7 3 O d 2 10 3 4 14 3 31 3 7 3
5 1 54 4 5 if A 4 8 O O Select one 8 89 1 8 1 1 1 9 0 75 2 3 7 1 3 5 1 8 8 9 4 5 1 8 1 B 4 8 1 2 2 det A 16938 then det B 2 3 7 1 3 1 9 0 75 2 2 and a 16938 b 16938 c 1 16938 d 1 16938
Algebra
Matrices & Determinants
5 1 54 4 5 if A 4 8 O O Select one 8 89 1 8 1 1 1 9 0 75 2 3 7 1 3 5 1 8 8 9 4 5 1 8 1 B 4 8 1 2 2 det A 16938 then det B 2 3 7 1 3 1 9 0 75 2 2 and a 16938 b 16938 c 1 16938 d 1 16938
If A is a square matrix such that A I then A is equal to Select one a O b A c A I d 2A O O
Algebra
Matrices & Determinants
If A is a square matrix such that A I then A is equal to Select one a O b A c A I d 2A O O
If A is a nonsingular 2 x 2 matrix then nullity of A 2 Select one O True False
Algebra
Matrices & Determinants
If A is a nonsingular 2 x 2 matrix then nullity of A 2 Select one O True False
3 then the eigenvalues of A are 1 Let A Select one a 3 8 b 3 1 c 8 8 d 3 8 1 O O
Algebra
Matrices & Determinants
3 then the eigenvalues of A are 1 Let A Select one a 3 8 b 3 1 c 8 8 d 3 8 1 O O
5 54 5 54 54 55 55 56 Select one O a 0 b 5 c 25 d 1 O
Algebra
Matrices & Determinants
5 54 5 54 54 55 55 56 Select one O a 0 b 5 c 25 d 1 O
find value values of k such that matrix is singular 103 2 1 0 L4 2 k Select one O a k 24 b 24 c k 20 d k 20
Algebra
Matrices & Determinants
find value values of k such that matrix is singular 103 2 1 0 L4 2 k Select one O a k 24 b 24 c k 20 d k 20
let A 5 4 1 2 0 2 3 8 0 03 9 Loo 0 7 Select one O O O a 220 b 210 c 210 d 220 then det A
Algebra
Matrices & Determinants
let A 5 4 1 2 0 2 3 8 0 03 9 Loo 0 7 Select one O O O a 220 b 210 c 210 d 220 then det A
if C A3x2XB 2x9 dimensions of C Select one O a 3x9 b 2x9 c 3x2 d 9x3 O O O
Algebra
Matrices & Determinants
if C A3x2XB 2x9 dimensions of C Select one O a 3x9 b 2x9 c 3x2 d 9x3 O O O
Let A 4 5 3 1 Select one O O Which of the following statements are true a A is singular b A is nonsingular 1 c A does not exist d 7 42 the inverse
Algebra
Matrices & Determinants
Let A 4 5 3 1 Select one O O Which of the following statements are true a A is singular b A is nonsingular 1 c A does not exist d 7 42 the inverse
1 If A 0 2 find det A Select one O a 2 b 1 C 1 d 2 O 0 21 2 1 0 3
Algebra
Matrices & Determinants
1 If A 0 2 find det A Select one O a 2 b 1 C 1 d 2 O 0 21 2 1 0 3
If determinant of a matrix is equal to zero then it is said to be Select one O O a invertible b nonsingular c singular d square
Algebra
Matrices & Determinants
If determinant of a matrix is equal to zero then it is said to be Select one O O a invertible b nonsingular c singular d square
Find X Y If 13 X2 58 Select one O O a x 2 y 3 b x 3 y 3 c x 3 y 3 d x 1 y 1 56
Algebra
Matrices & Determinants
Find X Y If 13 X2 58 Select one O O a x 2 y 3 b x 3 y 3 c x 3 y 3 d x 1 y 1 56
1 If v w 4 I and v w 1 5 compute and draw v and w
Algebra
Matrices & Determinants
1 If v w 4 I and v w 1 5 compute and draw v and w
If A is 4x4 matrix the dat A det A Select one True False
Algebra
Matrices & Determinants
If A is 4x4 matrix the dat A det A Select one True False