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

Q: Due to what property, applied to the matrices below, do we know that A + (−A) = O?

A: A+-A=O

Q: 6. Find the inverse of the matrix if it exists by using elementary row operation, 2 4 1 -1 1 -1

A:

Q: If A and B are matrices with the same dimension and k is a real number, how do you find A + B and…

A: Given that, A and B are matrices with the same dimension and k is a real number.  The objective is…

Q: If matrix A is 12 xc and matrix K is 4 x t, their product AK is r x 7, what are the values of c, t,…

A:

Q: 2. Analyze first the given matrix and identify the most appropriate tool to use and why. -1 2 4 3 2…

A:

Q: Create two 2 x 2 matrices A and B, to show that (A+ B) - A+B is not always true. Clearly write A, B,…

A:

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: Let A and B be 6 × 5 matrices. If dimN(A) = 2, what is the rank of A? If the rank of B is 4, what is…

A:

Q: A and B are 3,3 matrices. Lo lAl =-3 and IBl =2. SO phat is l-2A02|?

A: Properties of determinant:kA=knAAB=ABA-1=1A

Q: 3. Give an example of two 2 × 2 matrices A and B for which (AB)² # A²B².

A: To prove above equation with an example

Q: 3. If A, B and C are matrices with orders, 3 X 3, 2 X 3 and 4 X 2, respectively, which of the…

A: Note: There are many subparts in the question. So I will answer the first three subparts.…

Q: AA and BB are 2×22×2 matrices, det(A)=4det(A)=4, det(B)=−5det(B)=−5, then det(AB)= det(−3A)=…

A: Given that det(A) = 4 and det(B)= -5. Need to find different determinants depending on these values.

Q: Let A and B be 2x2 matrices with |4|--2, |B|= 4 . Give the value of the following. If there is not…

A: * Note:  "As per our company guidelines we are supposed to answer ?️only first 3 sub-parts. Kindly…

Q: What is the difference of matrices M=(-1,0,2)(0,-3,1) and N=(0,1,2)(0,0,-3)?

A:

Q: Determine whether the matrix is symmetric.

A: Now the transpose of this matrix is,

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: If A-1 =
2 71 3, what is the matrix A?

A: Its given that: We need to find the original matrix A.

Q: Consider matrix A. -3 5 2 A = 8 -1 3 What matrix results from -8·A?

A:

Q: If matrix A is of order 3x1 and matrix B is of order 4x3, then the order of matrix BA is 4x1 O 1x4…

A:

Q: Let A2x3, B2x3, C2x2, E3x2, be matrices. Which of the following cannot be calculated?

A:

Q: Find a two-by-two matrix such that: -9 5 1 0 3 5 0 1

A:

Q: If |A |= 4 and A is an 3x 3 matrix. What is | 3B?A² | ? B is a matrix resulted by multiply the…

A: Solution : Given that A = 4 and A is 3×3 matrix.                  We need to find 3B2A-2       Also…

Q: [2 2 Give two different matrices B so that in each case B 2 2

A: Given matrix

Q: 43. For square matrices A and B, is it true, in general, that (A + B)-1 = A¯1 + B¯!? Explain.

A: Explanation of the answer is as follows

Q: (4) Let A be a 3x3 matrix. If |4|= 2 , then |3.4|=,

A: Given that A be a 3*3 matrix and |A|=2. To find the value of |3A|

Q: Consider matrix A. -3 5 2 A = 8 -1 3 |

A: A=-3528-13To find the elementary row operation -3R1+4R2

Q: .

A: Given matrix Incoming message is

Q: Find the product of the matrices. 1 1 2 3 1 3 4 5 6

A:

Q: Find inverse matrix using Gauss - Jordan Method if available 1 -2 4 0 8 -3 -4] A = 2 -1 ||

A:

Q: Consider the matrices. -1 6. -4 -2 A = 4 2 -8 8 and B = 2 %3D -7 -11 6 5 What matrix results from B…

A: Solution-

Q: and B are square matrices with dimension 2 x 2, C is a matrix with 5 columns. What should be the…

A: Matrix CD is square matrix because A is square matrix.  And CD is define if column in C is equal to…

Q: True or False If A and B are n × n lower triangular matrices, then AB is also lower triangular

A: Given, A and B are n×n lower triangular matrices. Consider 2×2 lower triangular matrix A=a0bc…

Q: Find inverse matrix using Gauss - Jordan Method if available [3 2 -1] A = 6 2 [5 0 1

A:

Q: An identity matrix is represented by... О а. Нн-1 O b. H-1H О с. Нн-1н

A: If we multiply a matrix by its inverse we get the identity matrix.

Q: Find inverse matrix using Gauss - Jordan Method if available [1 3 4] A = |1 -5 0 [3 -2 4]

A: Lets name the given matrix say A To find inverse of A using gauss jordan method  we first take the…

Q: 3 - 3 1 /- 1

A:

Q: What is the matrix X if  3 1 -1 2 X= 3 4 1 2

A: In the given equation, the matrices can be represented by A and B and written as,

Q: What is BA if 3 Matrix A = 0 -4 -2 5 -1 6 2 -1] [2 and Matrix B= 3 [1 -1 -5 4 0 2 -2]

A:

Q: Is the answer in #1 and #3 not in matrix form? how so?

A: Remember : eB represents coordinate matrix of e with respect to basis B. Which means if we consider…

Q: Find 2x2 matrices, A and B, such that AB = 0, but BA is NOT EQUAL to 0.

A:

Q: Find 4x4 nilpotent matrices of indices 2, 3,  and 4

A:

Q: If A and B square matrices of the same order. then (A+ B)(A - B) is equal to

A: Last option is the correct option. (A+B)(A-B)=A2-B2+BA-AB

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

A:

Q: If we have Matrices: -3 71 2. Jand F=( 3. 3. 2. 1-3 5- create 3E-5F?

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: what does it mean for two matrices to be similar? If A and B are similar, list all properties that…

A: The linear algebra is used for solving system of linear equations. The matrices can be formed by…

Q: If A is a 3x2 matrix and B is a 2x3 matrix, then (BA) is 3x3 matrix. Select one: O True False

A: Given: A is a 3×2 matrix and B is a 2×3 matrix  To State: Whether the statement i.e. BA2 is 3×3…

Q: Find inverse matrix using Gauss - Jordan Method if available 1 -2 4 A = 8 [-1 -3

A: We have to find the inverse of the given matrix.

Q: Consider matrix A. -3 52 A= 8. -1 3 What matrix results from -8-A?

A: Given that: A=-3528-13