3. If A and B are two matrices of size 4 x 4 such that Det(A) = -3 and Det(B) = }, then Det((2A)-²(4B³)") is: a. b. C. d. None of these

Q: 3. If A and B are 3 x 3 matrices with det A = -2 and det B = 3 what are det 2A and det A-¹BTB²?

A:

Q: 1.- Given the following matrices [A] and [B], carry out the indicated operations: 2 -1 [2 -1 31 3…

A:

Q: 1. Let A= 311₁8 - 12² -2 3 -G and C= be matrices. Compute (AB )C.

A: B=0-2-231-4

Q: 7. Consider the two matrices A and B write an elementary matrix E such that B = EA -2 3 8 A = [5, 3²…

A: Solution : Given that

Q: Show that any two rows of a matrix can be interchanged by elementary row transformations of the…

A: According to the question,

Q: If A and B are 5 x 4 matrices, and C is a 3 × 5 matrix, which of the following are defined? A.B + A…

A: Given that A and B are 5×4 matrices and C is a 3×5 matrix. We know that two matrices X,Y are added…

Q: 6. Let A, B, C be (3 × 3) matrices, such that det (A) = 2, det (B) = π, What is the value of det…

A: Solution:-

Q: (24)*. Use the inverse matrices to find АВ and 1 3 1 4 2. 4 2 1 A-1 = B-1 = 2. 2 2 4 1 -2 2 4 -1 (a)…

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: 5. If C and F are 3 x 3 matrices and det(C) det(CF-1), det(2CF), det((CF)-!) ? V3, det(F) = -4, then…

A: Use rules of determinant , written below

Q: Polynomial Function Leading Coefficient Degree y-intercept X-intercepts Sketch of the graph 1. y…

A:

Q: 4. If A, B |AB|= are 3×3 square matrices, and 4|=1, 2B|=16 2B=16 then

A: Given: A and B are the 3×3 square matrix such that:A=12B=16

Q: It is estimated that 60% of emails are spam emails. Some software has been applied to filter these…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 5. Given the two matrices 1 9. 6 1 A = {2 -6 and B = 4 2 -1 4 -1 -1 -4 show that A B + B A.

A:

Q: 6. Let A, B, and A+B all be square invertible matrices of the same size. Show -1 that (A+B) = A(A+B)…

A: We need the property (CD)-1 =D-1 C-1  For any two matrices C and D.

Q: 10. True or False: If A, BE M, are nonsingular matrices, then A-+ B- is nonsingular. (a) True (b)…

A:

Q: 10. Consider the following matrices: A = 13 0 1 3-5 1]. B A² BA CA DA 10-1 215 -3 4], C-[|-||---|| 0…

A:

Q: Let A, B, and C denote n x n matrices. Given that det(A) = -3, det(B) = 11, and det(C) = 2.

A:

Q: 8. Let 2x2 matrices A = O a 8, b=5 Oa-6, b-7 none of these a -328-321AB - 2. then If = 4 с d Oa-5,…

A:

Q: compute the indicated matrices AB

A:

Q: 1. Determine the matrices C = 2A +B and ) = A-3B if 8 -6 -3 1 -2 3 2 -3 -4 A = -6 %3D -1 6. 4 -7. 2…

A: C=2A+B=28-6-31-20-65-1-280+32-3-4302-86-14-7=16-6-31-20-65-1-280+32-3-4302-86-14-7∴C=19-10-9-2-10-10…

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: 1. Let -5 -7 3 -6 С - -3 A B = 6 5 -3 -2 2 -3 Determine which (if any) of the following matrices are…

A: Given problem:-

Q: 11. s) Find the product of the following three matrices in the correct order. Thus you need to…

A:

Q: 1. Determine whether the following statement is True or False. Explain why in 1-2 sentences. Let A…

A:

Q: 2. Suppose that A and B are square matrices, not necessarily of the same dimension. Show that A 0…

A: Given that A and B are square matrices. Also dim(A) and dim(B) may or may not be equal

Q: If you have the following matrices : 21 A =-3 0 4] 2 1] B =3 3 -2 2 1 4 21 C= -5 9 1 find 1-A+B 2-AT…

A: Here we have the matrix