find (a) AB (b) BA (if they are defined) for the following matrixes 2 1 0-1 0 A = -3 4 B = 4 0 2 1 6 8-1 7 [6-21 5 (a) 8 -3 19 2 7 5 (b) Not defined |1 -12 5 (a) 4 -2 19 2 7 3 3 -4 (b ) 10 16 26 46

Q: Consider the following matrices 8 5 8 2 2 7 2 = [ ²₂ ²3 61 ++++ 8 2 1 8 7 10 8 4 3 10 8 10 8 Of all…

A: Here we have to find possible matrix multiplications.

Q: 5) Write the following matrix, A, as the sum of a symmetric matrix and a skew-symmetric one. 13 2 -3…

A:

Q: Can the following matrix be diagnolized? 2 -1 0 2

A: A matrix is diagonalizable if and only if for each eigenvalue the dimension of the eigenspace is…

Q: Which of the following is equal to the matrix product -1 -2 -2 -2 2 2 10 -1 -2 0 -6 3 2 -4 2 -4 4 4…

A: To find the matrix product

Q: Original Matrix -2 5 1 New Row-Equivalent Matrix 18 [": 0-34 4-1 -7 -7 O Add 6 times Row 2 to Row 1.…

A:

Q: Show that A and B are not similar matrices

A:

Q: 5 -3 Find the matrix A if (I+ 2AT) ¯ = | 1: -2

A:

Q: (a) If A and B are two square matrices such that AB = 0, then A = 0 or B = 0. 1 1 3 0 10 1 -1 (b) 13…

A: we need to prove the given statements are wrong

Q: 1. Consider the following matrices: (b) [2 0 1 -2 ------# C= 1 3 D= 3 2 0 -1 -1 (c) A = 53 Evaluate,…

A: Consider the following matrices.To evaluate the following:

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A:

Q: If A and B are n x n matrices and if det(A) , det(B) 2, then det (-3A-1B) is (A) (-1)"2"-215 (B)…

A:

Q: Show that A and B are not similar matrices

A: Given:

Q: 3. Determine whether the matrix is elementary. If it is an elementary matrix, state the elementary…

A:

Q: What will be the rank of the matrix? [1 3 5 9 2 [1 5 2 0 0 0 0 0 15. 0 2 7-6 4 16. 019 0 05 0 0 8 7…

A: 15. Given matrix is: 1359200000027-6400879 The above matrix has 4 rows and 5 columns. So the order…

Q: If M is the matrix: 1    9     5     -1 0    2     0     -2 7   -4     0     2 2   -2    -1     3…

A:

Q: 16) Find the following matrix product: 2 0 1 3 0 0 1 3 2 4 2

A:

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

A: Given that A,B and C are 3*3 matrices. To find det(A^TA^-1)

Q: 1 (4) s What can be said about the 2 matrices based on your result (d)? -0.5 -1.5

A:

Q: The matrix is invertible. True False A = [117 0 0 17 - 23 0 -13] -2 -3

A:

Q: A, B, C are 3 x 3 matrices with det(A) = -3, det(B) = -2, det(C) = 6. What is det[(-3)A]? O 27 81 -9…

A:

Q: 3. Let [1 2 3 A = |4 5 6 7 8 9 (a) What is Aēj? Present it as a linear combination of the columns of…

A: Given

Q: Find the area of the triangle with the points A(1, 1,5), B(3, 4,3), and C(1,5, 7) by using the cross…

A: Disclaimer: "Since you have asked multiple questions, we will solve the first question for you. If…

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: 2. 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: Calculate whether the given matrices are diagonalizable or not. That is, for each matrix, calculate…

A: We will use the fact if the eugen values of a matrix are distinct then the matrix is diagonalizable.

Q: Let A, B, and C are 3 x 3 matrices and det(A) = -2, det(B) = -4, det(C) = 1. Evaluate the following…

A:

Q: ow that (ABC) = CTBTAT by using the fol

A:

Q: Explain why the following statements/arguments are wrong. (a) If A and B are two square matrices…

A: To explain why the following statements/arguments are wrong.(a) If A and B are two square matrices…

Q: Find the sum of matrix AxB and matrix C. ((AxB)+C)

A: In this question we have to perform the following operation on the given matrices.

Q: 2 :B= 1 3. Consider the matrix If we apply the following operations in order to the rows of B what…

A:

Q: 3 If A= 2x+ x- is a symmetric matrix, then x ? 3 x+2 (A) 4 (B) 3 (C) -4 (D) -3 O A

A: we have given A is a symmetric matrix.  We have to find the value of x