[1 1 31 Let A = 2 3 5. Then the adjoint of A is given by: l3 9 7] -24 11 -24 -1 9. 1 |-11 -1 9 -6 1 -1 the above matrix the above matrix -24 20 -41 -24 1 -9 1 -2 1 11 -1 -6 9 -6 1 -1 -1 -1] the above matrix the above matrix

Q: A B Let m and n be whole numbers. Matrix P is of order/size m x n. Matrix Q is of order/size n x m.…

A: Given that, m and n are whole numbers. Matrix P is of order m×n and  matrix Q is of order n×m. Want:…

Q: Compute the adjugate of the following matrix: 5 60 adj 4 -7 -5 -10 -4 -6 000 000 000

A:

Q: Find a basis for the row space of

A:

Q: 4 2 0 70 all oene tril(A, -1)+ eye(4). The third row of the matrix B is: Given the matrix A: 1 2 -1…

A: Let A = 1111111111111111 tril(A,-1) = 0000100011001110eye(4) = 1000010000100001

Q: Determine if the matrix is nonsingular. Explain. [1 3 21 1 4 l1 -7 21

A:

Q: 1 2 -5] -2 3 0 2 A = 7 -3 2 2 -1 4 0 0 0 -1 -6 4 B = 6. -1 4 1 Given matrix A and matrix B,…

A:

Q: REI [1.5 5 -151 2 30 -1 2 1 .5 and C= [-2]. -.5 16. For this problem, let A = a) Use your calculator…

A:

Q: Find matrix such that 5 3 -1] X+ 2 -3 1

A:

Q: 3 - 2 - 5 1 Find the rank of the matrix 3 5 - 12 -1 2) 2.

A: Rank of matrix: Number of linearly independent column represent rank of matrix. Given matrix is:…

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: Diagonalize the following matrix: 1 7 - 1 13 5 -5 -7 - 1 7 not diagonalizable 6 0 0 -9 0 0 - 12 90 0…

A:

Q: 8. (3pts) Let A and B be arbitrary n x n matrices. Multiply (A – B)(A+ B).

A: As we know that (A-B)(A+B) = AA+AB-BA-BB=A2+AB-BA-B2here AB need not to be equal to the BA. Because…

Q: 13.) Determine the matrix: s P 6-8 3 ។ -3 the dimension X 10

A:

Q: 2. The matrix product G o) ( (5 3 is equal to 3 2 5 3 (: ) 3 5

A:

Q: ; = \57 -77 -80/ В — 42 72 75 4 288 -82 -1 4 а. Find B-1

A:

Q: 2 2 1 6 4 4 1 10 88 8 -1 4 13 26 23

A:

Q: Find the following matrix product. Be careful to distinguish 2 x 2 matrices in the answers from 2 x…

A:

Q: (1) True or False? Justify your answer. (a) Let A, B, and C be two square matrices of the same…

A: for given three matrices with same dimension  and  is invertible,Again as matrix multiplication is…

Q: 1 31 A = 2 7 . A·B = B · A = I3×3 -2 -4 -5. ]

A:

Q: iagonalize the following matrix: 21 4 1-4 31 -1 24001₁ 111-12 C - 0

A: A matrix is diagonalizable if A.m. of each eigen value = g.m. of corresponding eigen value

Q: 2 1. -1 2 1. Matrix +2 Matrix -1 3 1.

A: The given matrix,        21-13+2-1211

Q: [2 -3 -47 The matrix product 2 4 [0 1 5 1

A: Given : 2-3-4015 . 3-12401

Q: 6 -1 Evaluate ABT – 3C given that (2 -2 lo -1 2. -2 A = 6 -3 ‚B = and C = -12 7. 3. Use matrix…

A: To solve the given matrix problems.

Q: 15. Diagonalize the matrix A = 11 expressing it similar to a diagonal matrix D. "

A:

Q: V = M2x2 (R) let M = { A€ V A = A²} N = { A = V A = -A ² } Subset of the vector space V V = MON…

A:

Q: 1 -1 2 a) Find the matrix A if (3A) =0 2 0 3 -1 4

A:

Q: 1 2 1] 2a. Encode the message The British are Coming using the matrix 2 3 1 |-2 0 1 2b. Decode the…

A: Given matrix 121 231 −201 To encode the message "The British are Coming" using the above matrix. To…

Q: Find the matrix A such that 10 [-13]4 ;]₁ = [ A -1 3 Hint: Let A = A = a b [26] d -1 -5 2 8

A:

Q: X = 8 8 3 3 ; A = 2 42 0 1 -2 -3 7 3 3 2 9

A: Every matrix of order m×n is represented a linear transformation from Rn→Rm definition of T(x)=Ax

Q: a: Diagonalize the following matrix, if possible [4 1 3] 3 8 7 12 7 51

A:

Q: 1. Consider the matrices 0 4₁-(13), 1 3)₁ 4₂2 - ( -8 -2) ₁4₁ = (3-2). 0 1 3 -5 -4 A₁-(3) -4 0 and A4…

A: We have to match the given matrix with the function represented in the graph

Q: 0 13 3. Find the matrix A such that A -6-20 use the variables a,b, c, d for the entries of A. 2-2…

A:

Q: 4 = = - (13 + 2) 0 3 13 -13 13 + 2 0 9. 1 B = 1 13 +3 4 -(13+ 4) [13 13+1 1 0 Calculate the…

A: Matrix multiplication is defined as row by column multiplication where the elements of the ith row…

Q: If we multiply a row in a matrix A by a real number r, JAl changes in r.

A: