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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

If A is 4x4 matrix the dat A det A Select one True False