-2 k For the matrix A = if JA| = 0, what is the value of k? %3D 2 3 A. 5 B. C. D. -5 123

Q: Use the following matrix. 10-2 3 2 A = 1 40 3 ? What is the element a 31? a31

A: The given matrix is A=10-2321403. We have to find the element a31.

Q: Diagonal Matrix Given: Y = diag(a1,a2,...,an) Z = diag(b1,b2,...bn).   a. Evaluate YZ and YZ.…

A: We know that product of diagnol matrix is a diagnonal matrix.

Q: If the matrix ? = [ 2 3 −1 2 ], show that ? 2 − 4? + 7? = 0.

A: From the given problem:   A=23-12   So the characteristics equation is:   A-λI=0

Q: С. [ E国 -18 3 7 12 13 -2 3 9 11 5 3 4 8 -3 -15 7 8 4 8 -6 2 -8 6 -2 19 -8 26 -18 16 -13 4 Matrix A…

A: A detailed solution is given in step 2.

Q: If A and B are similar, then there exists a matrix P such that B = PAP. Use this fact to fi -2 2 -3…

A: Here we have to find B5 ,   We have to find if A and B are similar or not, if A and B are similar…

Q: What is the inverse of the matrix 4 Z = 6 -5 .a 16 8. .b 16 3 8 .C 3 .d 8. H/4 12N

A:

Q: D. Solve for the Inverse of the given 3x3 matrix below. 4 -2 -6 7 1 8 -3

A:

Q: Solve for the inverse of the given matrix by definition A*A1 = A 1*A = | 1 7 -5 |A| -2 -3 6. %D 4 8…

A:

Q: ii. the missing elements of the adjoint of M, (-11 1 13 adj(M) = -9 an a2 3 a a33) :=

A: A detailed solution is given below

Q: Let A and B be two square matrices of order n over a fiéid F and AEF Then (I) tr (AA)=d Ir A; (2) Ir…

A:

Q: 0. is similar-to e matrix if and only if 0 3 03

A: A and B are similar matrix if there exist an invertible matrix P such that  B= PAP-1

Q: a. what is the size of A? b. how many additional rows would A have to have to be a 3quare matrix.

A:

Q: Determine whether the matrix is positive, negative definite or indefinite [7 4 7] A= 4 7 4 4 4 7

A: A matrix is a positive definite if the matrix is symmetric and all its eigenvalues are positive.  A…

Q: Diagonalize the following matrix. – 26 – 15 50 29 D 1 P ||

A: Let A=-26-155029. To diagonalize the matrix A, first we have to find the eigenvalues of the matrix…

Q: |adjA| = |A]"=1 n-1

A:

Q: What is the inverse of the matrix -- 4 Z -5 .a 16 .b .C 5 16 .d 5 1 16 4 1 8 2 H/4112N 1/4112

A: See the attachment

Q: Find the rank of the matrix 3. 5 9 -3 5 -11-5 -3.

A:

Q: 4. Diagonalize the matrix A = 6 3 - -1 2

A: Linear algebra

Q: For the matrix A = 1 -2  4  , what is the value of | A| ?                               2  0  6…

A: Given, The matrix A = 1-24206373   We have to find the value of A.

Q: -2 For the matrix B = 1 what is the value of |B|? 13 A. 8 B. - 2 C. D. - 5 4 33 4.

A: The given matrix is

Q: Let A = [ 3*0 .8 = [ Jand C = [14-0 Jand c = [1* | Find the matrix X, if 8+0 -10 A? + 3X =C |B|

A:

Q: Show that ∣A∣ = ∣AT∣ for the matrix below.

A: Now the transpose is,

Q: Which one of the following is an upper triangular matrix? .a 5 3 1 0 -5 2.6 0 0 5 .b

A: Upper triangular matrix is the matrix in which the values below the main diagonal are zero and the…

Q: -2 For the matrix A 2 6. what is the value of JA|? 3. 7 3 A. 16 B. 29 C -10 D. -9

A: The correct option is (C).|A| is the determinant of matrix A.Use the first row to find |A|.

Q: Diagonalize the following matrix, if possible. 2 4 3 A = -4 -6 -3 3 3 1

A:

Q: ermine if the columns of the matrix to the right span R*. 8 -6 4 -2 -7 2 -4 -1 - 5 -5 10 - 3 8 -8 5…

A:

Q: For the matrix A = 236 4 5 8 Time le what is the value of the element 1 4 9 the third row and first…

A: Step 1:Step 2:

Q: 1   2    3 Find the inverse of the matrix=  1   3     5…

A: Given: 1231351512

Q: a. Give the order of the given matrix. b. If A = [a], identify a32 and a23, if possible. 6 -5 4 3 6…

A: Given :Matrix : e-5e5-43-8π6171-19

Q: Determine the value of the given element of the matrix. a34 A = 3 15 -7 Select one: O a. -5 O b. 24…

A: A=3-89-215-3108-72-513