1 Exercise 2.1.27 Consider the matrices A = - - - 3 B 1 - D= 2-52 [ 3 - 2 ²] c = [1 8] ,C= -3 21 5 0 1 1 P-[4-3-0 } ], E = [ } ] Find the following if possible. If it is not possible explain why. (a) -3AT (b) 3B-AT (c) ETB

Q: Given matrices A, B, P such that det (A) = 2, det (P) = -3, and B = PAP-. Which one of the following…

A:

Q: 4]         [8   7]      [7   2]             +               - [-4  6]         [8   8]      [3   4]…

A: Given expression is: 14−46+8788−7234

Q: Suppose A, B and C are 2 × 2 matrices with det(A) = 3, det(B) = -2, and det(C) = 2. Find…

A: NOTE: Refresh your page if you can't see any equations. . properties of a determinant are where…

Q: Let (13). Which of the following matrices is a solution X of the equation O O 4 = (1²₂3) A O and B =…

A: Topic = Matrix

Q: the matrIX A into a product QDQ" where Q is orthogonal and D is diagonal.

A: Given,          A=-5-1-1-1-3-1-1-1-3

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

A:

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det(A² BC-1)?

A: Given A, B and C are 3×3 matrices. and A=-3,B=-2,C=6 Find the determinant of A2BC-1.

Q: Given that -1 2 -2 1 0 -2 A= 1 and C= -3 2 1 1 -1 3

A:

Q: 4 -1 If A = 3 3 and B = -3 find 1 -1 -2 A ·B, if possible.

A: For the multiplication , the number of column of first matrix must equal to the number of row of…

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

A:

Q: Using the matrices -2 -3 0 D = 1 0 2 1 2 1 compute the following. tr(2E¹-D) = -3 -4 -1 E = tr(2ET -…

A:

Q: -3 For the matrices A and B, verify that A.B=B.A, where A=[53] and B= 4 4 -51

A: Given :A=5443   and B=-344-5

Q: Given the matrices: 2-1 0 A - (²29). B- (1¹³). (7³), 0- -1 3 Compute each of the following, if they…

A: We are given the matrices A,B and C.

Q: Use the fact that matrices A and B are row-equivalent. 1 2 1 5 1 2 A = 3 1 7 2 2 -2 11 25 8 -1 8 1 0…

A:

Q: ( -10! BIf (21-A)-! evaluate the matrix A.

A:

Q: <= [-5 1 is the product X = E₁ E₂E3 of elementary matrices E₁, E2, E3, find -5 35 E₁ = If x= 03-894…

A:

Q: Consider the following 3 by 3 square matrix: [0x 1] A = 135 Find the value of "x" so that det(A) =…

A:

Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

A: B-1 can be calculated by calculating determinant of a matrix and then dividing adjoint of the matrix…

Q: -3 8 -3 and C = (1 4 A = ( 2 -3 -6 B = 1 2 69 2 1 -2 6. -3 1 are three matrices find |D"|where D =…

A:

Q: Q8: Given that -2 X = 1 8 -8 -9 -9,Z -7 7 -2. -8 5 what is the matrix 3X + Y – 3Z?

A:

Q: -3 4 B = -1 | %3D 4 | 0 4 3. C = -2 5 1 D = 4 -2 0 1 Using the above matrices find DB

A: Given matrices are

Q: 1. For the given matrices A find A-¹ if it exists and verify that AA-¹ = A-¹A=I. If A-¹ does not…

A:

Q: Find A-E and the elements from the matrices

A:

Q: Diagonalize the matrix A || -1 −1 1 4 16 by writing it as A = PDP-¹

A:

Q: 2 B= [11] 3 -1 Write B and B-¹ as products of elementary matrices.

A:

Q: Q5: Write the following as a product of elementary matrices. 8 00 1 1 -2 (а) |0 -3 1 0] 0 2 0 5 0 20…

A:

Q: Find an LU -9 -9 0 2 -45 -63 72 62 L U = factorization for -8 -8 8 8 -104 -111 56 36

A:

Q: Q4. (A)_ If a-12 4 68 10; 31415; 24 6 8 10; 1 234 5; 4790 61. find the sub matrices with explain it.…

A: Remark:  Let a be an m*n matrix, then a(:, p) gives  sub-matrix of order m*1 with elements of p-th…

Q: 1 2 adj of matrix A= 3 4 Select one: a. 4 2 -3 1 O b. 4 -2 -3 1 O C. 4 -2 -3 -1 O d. 4 2 -3 1

A:

Q: 3. Consider the matrices A = |-1 2 2| and B= -1 1 1 -1 -1 (a) Find AT. (b) Compute A². (c) Calculate…

A:

Q: 2. Consider matrices of the form -2 1 = a ( - 1² - ²2² ) + ³ ( -7 _ ²2 ) B B -2 1 -2 (a) Ma,B≥ 0.…

A: