QUESTION THREE Consider the following matrices 3 3 A=| 1 -2 2 -1 4] B= 11 -2 Find i. АВ ii. A+B iii. A iv.

Q: If A and B are 2 × 2 matrices, such that det(A) = 2 and det(B) = –3 %3D %3D then det(A"B) equals…

A: We will use basic properties of determinants to solve this

Q: Given below are two statements STATEMENT 1:If A and B are square matrices of order n such that…

A: Given :Statement 1: If A and B are square matrices in order n such that det(AB) = -1 then both A and…

Q: Which of the following matrices is not in row echelon form? Ti –2 3 77 0 150 0 001 A 1 -1 6 5 97 0…

A:

Q: Question 2. Is the matrix P orthogonal, where P- (; ) 1 YES NO 1 V3/2 0 1/2 P = -1 YES NO V3/2, 1 -

A:

Q: 3 1 come up with two matrices D and C such that DA CA but D (b) For A C. 6 2

A: The given matric,

Q: Given the matrices below and that A = LU, solve Ax = b. 1 3 4 A = -3 -8 -16 b= 1 1 13 25 1 3 4 U =…

A: We have to solve given problem:

Q: Question 1. Are the following matrices similar? 3 2 a) 1 and ? YES NO -1 0 ? 0 6 -1 2 b) and YES NO…

A:

Q: Show that AB and BA are not equal for the given matrices.

A:

Q: Question 8 Which ONE of the following matrices is NOT diagonalizable? 1 0 0 050 0 0 5 4 -2 0 5 0 6 1…

A:

Q: 1 0 6. Given that A' = and B Which of these matrices equal (AB)? 1 2 2 2 (a) 0. (b) (c) -2 -2 (P).

A:

Q: Let A and B be 4 X 4 matrices with det A = 2 and det B =-1/4. Find det C for the indicated matrix C:…

A: Solution: Consider the given matrices A and B, 4x4 order with det A = 2 and det B = -1/4. And given…

Q: Question 2: It is a block matrix, and "O" mean all 0, "I" mean all 1. I O I O Вс I Find the inverse…

A: Gauss-Jorden elimination method:  To find the inverse of the given matrix, first we need to augment…

Q: Question Two Suppose that A is an n x n matrix such that 4² = 0. a) Show that if € im(A), then €…

A: answer is in next step. please give a like !!

Q: QUESTION 1 -7 and B = [-5 29]. %3D Consider the matrices A = -5 1 3 Find the missing entry in the…

A: Solution is given below:

Q: Compute the indicated matrices, if possible .…

A: Given that, A=1235B=20-13-34

Q: consider the following matrices with given dimension А: 3 х 4 B: 3 х 4 С: 4 х 2 D: 4 x 2 E: 4 x 3…

A: we have to find order

Q: d) Consider the following matrices: [1 -3] and B- Find: i) A- ii) (2AB) -

A: Given matrices are A = 1-32-4 and B-1 = 21-11

Q: Question 8 & 9 are related to the following two matrices [1+. A = B = Question 8 trace of AB = A.…

A: Trace and det of the matrices

Q: (b).Use the matrices а A d and 5 3 В 4 7 to illustrate Det AB Det BA det A. det B.

A: The matrix AB and  BA are:…

Q: Question 14 Given the following matrices 12 10 -11 3 :). -2 3 -4 2 1 -4 3 if A = ,B C = 9. -4 -3 ‚D=…

A:

Q: Question 7 Which of the following is a false statement if arbitrary matrices A, B, and C for which…

A:

Q: QUESTION 7 State whether the given statement is True or False: 2 1 The given matrix is in the…

A:

Q: Question 2. Is the matrix P orthogonal, where (V3/2 0 -1/2) | a) P = -1 YES NO o V3/2, 1 :) 2. b) P…

A: As a matrix P is orthogonal if and only if PPT = I = PTP

Q: Consider the following two matrices 1 2 1 1 3 1 3 A = -2 B = | 0 1 1 0 0 0 1 Select one: a. both A…

A: In row echelon form number of preceding zeroes increase in consecutive rows.  In row reduced echelon…

Q: Question 2. Is the matrix U unitary, where 1+ i 1- i -1 Yes No 1- i | 1+i P = diag ( i,-i, V2 Yes No

A:

Q: Compute the indicated matrices, if possible . A2B

A: GivenA=1235 , B=20-13-4To compute A2B

Q: Example 1: For the matrices A = 0. and B= compute AB andA-1 and B-1 and (AB)-1.

A:

Q: QUESTION 8 Which of the following matrices are in echelon form? 1234 0 01 2 0101

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

Q: Question 11 Imagine you have matrices A, B, and C, which of the following is false? (A) AB + AC =…

A:

Q: Question 2: (a) Show that for 2 × 2 matrices A &B the following equation holds. det(A + B)? = [det(A…

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: Question 17 Given that A, B are two 4x4 matrices such that A B = I, where I is a 4x4 identity…

A:

Q: Show that AB and BA are not equal for the given matrices. -2 1 8 0 A = 0 5 -1 2 АВ ВА

A:

Q: Find if possible the matrices: a. AB   b. BA.

A: Given that: The matrices, A = -1-2-3  , B = 123

Q: Question 5 Find the inverse of the matrix, 2 -1 -4 -7 -2 -6 Choices: -3/2 1/2 I-7/2 3/2 1/2l 4 8- 3…

A: First we find the determinant of the matrix

Q: If A & B are 2 x 2 non-singular matrices, where A 2 3 7 4 . Calculate det (B)? 3 2 , AB = 1 2 OA. 4…

A:

Q: Question 3 2 3 1 1 Find the (1,1)-entry of matrix X given 1 Let A and B 3 that AX+A=B. 4 1 2

A:

Q: QUESTION 4: Given the following matrices: [1 -1 5] A= 4 3 1 Is A orthogonal? Why?

A: A=1-15436010

Q: Question 2 Which of the following is TRUE about the matrices below: 1 2 -1 A =0 0 1 0. 0 0. 10 1 0 4…

A: We want to find matrix which are in row-echelon form

Q: Question 5. Assume that A and B are matrices of the same size. Determine an expression for A if 2A -…

A: We can add or subtract only same size matrices.   However we already have same size A and B…

Q: 6. If A and B are symmetric matrices, then (2A-1 – B)" = O 2A-1 + BT O 2A-1 – B O 2A-1 – B-1 None О…

A:

Q: Question No. 3: Find the Inverse of the following matrix using Adjoint Method: 6 A =| 3 4 -7 2 -2 9…

A:

Q: Question 7 Not yet answered Marked out of 5.00 P Flag question Let A, B and C be 4x4 matrices with…

A: To solve the following problem, we use the following property of determinant. Det(A.B) =…

Q: Question 6 The matrix A is the standard matrix for the trans 4² -2 24 4 8 -12 -3 5 01 31 O2 31 ° 27…

A: Given, matrix A is standard matrix for the transformation x→Ax. It transformed 13 in 11 and 27 in…

Q: Question #3 * Two matrices A = [a] and B = [b,] are equal if and only if A and B are of the same…

A: As per our guidelines we are supposed to answer only first question ( if there is no specific…

Q: Consider the following two matrices.  Why can't the product of the following two matrices be found?…

A:

Q: Question 2 Given the matrices below, find B - 2A 7 -5 4 -5 1 -4 -3 (- [] 1 3 -5 D E = -2 1 4…

A:

Q: QUESTION 4 Find AxB (Matrix Multiplication). 2 1 -2 A = 3 -1 4 -1 2 1 B = -2 4 %3D -3 7 -6 3 -1 -2 O…

A:

Q: Consider the given matrices and answer the following four equation with respect to given matrices:…

A: Given that:                                     A=21-1-110B=02130-1

Q: Find if possible the matrices: a. AB   b. BA.

A: Given:A=2-31-111-21 B=12-1154105

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.