# Matrices & Determinants Questions and Answers

Algebra
Matrices & Determinants
A survey is done in London and people are questioned in 6 out of 32 neighborhoods Systematic Stratified Cluster Simple Random
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
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
Algebra
Matrices & Determinants
Reduce the matrix to reduced row echelon form A 1 0 1 1 0
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
Algebra
Matrices & Determinants
Find the slope of each line 1
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
Algebra
Matrices & Determinants
If A B are symmetric matrices and AB BA then AB is also sym Select one True O False
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
Algebra
Matrices & Determinants
If A B are symmetric matrices and AB BA then AB is also symmetri Select one O True 0 False
Algebra
Matrices & Determinants
adj of matrix A Select one 7 3 1 b 3 C 4 21 3 1 12 34
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
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
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
Algebra
Matrices & Determinants
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 V span R then they form abasis of R Select one False
Algebra
Matrices & Determinants
If V V V3 V are vectors in R then they must be linearly dependent Select one True
Algebra
Matrices & Determinants
The matrix A Select one True False Isin 0 Lcos A Cos 0 sin is singular for some 0
Algebra
Matrices & Determinants
If A 0 0 10 Select one True False 1 1 01 1 1 then Rank A 3
Algebra
Matrices & Determinants
A homogenous linear system AX 0 of two equations and thre unknowns may have a unique solution Select one O True
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
Algebra
Matrices & Determinants
equals to Select one 1 a BA 25 5 A B d A 8 B
Algebra
Matrices & Determinants
If A is 2x2 matrix such that det A 3 then det A A 1 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
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
Algebra
Matrices & Determinants
If A B are symmetric matrices and AB BA then AB is also symmetric Select one O 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
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
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
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
Algebra
Matrices & Determinants
5 54 54 55 55 56 57 OOO Select one i in b 25 OC 0
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
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
Algebra
Matrices & Determinants
det A B det A det B Select one O True O False
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
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
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
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
Algebra
Matrices & Determinants
If A is a nonsingular 2 x 2 matrix then nullity of A 2 Select one O True False
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
Algebra
Matrices & Determinants
5 54 5 54 54 55 55 56 Select one O a 0 b 5 c 25 d 1 O
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
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
Algebra
Matrices & Determinants
if C A3x2XB 2x9 dimensions of C Select one O a 3x9 b 2x9 c 3x2 d 9x3 O O O
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
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
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
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
Algebra
Matrices & Determinants
1 If v w 4 I and v w 1 5 compute and draw v and w
Algebra
Matrices & Determinants
If A is 4x4 matrix the dat A det A Select one True False