If A and B are 2 × 2 matrices, det(A) = 1, det(B) = 9, then det (AB) = det (-3A) det(A") = det (B ') : det (Bª) =

Q: If (AB)" = and A = find the matrix B. %3D

A:

Q: Find the determinant of the following matrix (CLO7) ^= [41] Select one: O a. -3 O b. 5 C. -7 O d. 7

A: Given: Matrix:A=[2,5−1,1​​] Calculate the determinant for the matrix. Let`s assume a value for each…

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: The ciphertext text YIFZMA was encrypted by a Hill cipher with a 2 × 2 matrix [9 13 2 3 Find the…

A: We have to solve given problem:

Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

A: This problem is related to the vector algebra. The problem is solved in the following image.

Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

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 2 Let (A – 21)-1=| 3 4 where / is the identity matrix,then A = Select one: а. 0 3 7 3 2 2 b. 1 3 3…

A: A-2I-1=1234 Taking Inverse both sides, we get…

Q: If A and B are 4 × 4 matrices, det(A) = 2, det(B) 3, then det(AB) = det (3A) det(A") det(B-1)…

A: Given 4*4 matrix,det(a)=2 ,det(b)=3

Q: Express the matrix = [₁,1] - 9 and its inverse as a product of two elementary matrices. A =

A:

Q: Let A and B be the following matrices. Perform the following operations: A. B = B. A = -37 67 28 -26…

A:

Q: Determine the matrix A x 1, if A=(13) and 1=(9)=

A: Given A=-1043,     I=1001   To determine: the matrix A×I

Q: Factor these two matrices into A = XAX-¹: 4 = 3 A [

A:

Q: Given too matrices A,B such that det(AB)=4. Which one of the following statements is False.  1) det…

A: We are given that det(AB) = 4. So, det((BA)-1) = det(BA)-1 = 1/4, and det((AB)-3) = det(AB)-3 = 1/43…

Q: (1 point) If A and B are 3 x 3 matrices, det(A) = -3, det(B) = 2, then det(AB) = det(-3A) = det(A")…

A:

Q: (3 (4") *) If A is 3 x 3 matrix with det (A) = 3, find det %3D

A:

Q: How did they get the numbers in front of the matrices such as (-1), (-2), (6) and so forth?

A:

Q: The coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). Represent mathematically…

A: Given that the coordinates of the end of a line is at P (0, 0, 1) and at Q (1, 1, 1). So the…

Q: Let A be a 4x4 matrix and det(A)=2. Find det(2A-)'

A:

Q: Solve for (A + B^T)*(A^T-B)*C and compute for the matrix inverse of B and AB.

A: Follow the procedure given below.

Q: Let A,B, C be 2×2 matrices where B= - /2 A, det A=2 and det C = – 8 Then det (8 A ³ (B-1)™ c-2) = O…

A: We know that; The rule of determinant; 1). detkA=kndetA ; n is the order of the matrix 2).…

Q: Find out two examples for each types of matrices and write down it's order also

A: