Example 5: Find the rank of the following matrices: 1. -2 -4 4 A = 6 -6 -4 -2 -4 4 9 2. A = [1 2 5] 3.

Q: 6. Given the matrices -1 1 -2 2 0 3 | A В %3D %3D 3 0 4 -1 5 1 Find 3A - 2B:

A: Topic = Matrices

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: Consider the matrices. -4 -1 -2 2 and B = 8 8 A = 4 9 2 -7 -5 -11 6 5 What matrix results from B +…

A: Given:- A=-16-2249-5-11 B=-4-1-882-7-65 To find:- B+A

Q: The following matrices are elementary matrices except (3 (c) (d) (n) (b) -3

A: An elementary matrix is that matrix which can be obtained by performing a single elementary…

Q: [1 2 0] 3. If is A =3 4 0 create a matrix B whose entries are three times the difference of an…

A: Since I have solved similar ones, Let us find the matrix B and and it's determinant using built in…

Q: 1. Determine the matrices C 2A + B and D A- 3B if 2 8 -6 -3 3. -3 -2 -4 3 0. A = %3D -6 -1 -8 9. -2…

A:

Q: Show that A and B are not similar matrices

A: Given:

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: Find the matrix product AB, if it is defined. -2 3 -2 0 A = B = 3 2 -1 1 O A. 4 0 O B. 1 3 -3 2 -8 2…

A: A = -2332B = -20-11

Q: 2 2 3. Transform the given matrix to RREF -2 1 1 -1

A: The given matrix is; 3 2 2 -2 0 1 1 -1 0. Repost the next question.

Q: Question 1 Find an LU factorization of the matrix A 3 5 5 20 6 31 A = -2 -1 -1 4 -1 7 1 7 1. 1.

A: Find an LU factorization of the matrix A

Q: Refer to the following matrices. -1 5 2 3 A = 2 -5 5 1 %3D 2 2 Compute 2A - 3B.

A: See the attachment

Q: Compare (AB) 1 to B 'A for the matrices below. 2 1 4 9 A = B 11 1 2

A:

Q: Given the matrices below and that A = LU, complete L-1U-l,and A-1. 1 -6 -2 1 1. A = 1 -5 -5 L = 1 1…

A: Here we have,  A=1-6-21-5-5-4270, L=100110-431 , U=1-6-201-3001 Given:-  A=LU

Q: Determine the rank of the following matrices: 3 -1 4 -2 (b) 4 2 -1 3 (a) -1 2 12 -4 -1 5 5 2 4 6 -1…

A: The number of non-zero rows in the row echelon form of a matrix gives the rank of that matrix.   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: Consider the matrices: 7 A = B = С — -6 6. D = [6 8 3], E = | 5 3 6. -6 3 F =| 3 9 G = 3 -3 5 3 7 5

A: In this question given that any type of metrix and help of these metrix we find the value of any…

Q: 0 -1 -2 Put the following matrix into RREF: 1 1 2 -1

A:

Q: Question 4 Find the rank of the matrix. 1 1 -1 3 -1 4 -2 1 6 3 4 1 2

A: To find the rank of the given matrix

Q: -1 - 3 7 Let A 1 and A 2 be two matrices in M2. = -6 4 7 Choose the matrix that belongs to span {A…

A:

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

A:

Q: Let A and B be two 4x4 matrices with rank(A)<4. Then rank(AB)=4. E ((C Select one: OTrue OFalse

A: We know that  Rank(AB) = min{rank A, rank B} Since Rank A &lt; 4

Q: Which of the following 3 x 3 matrices are in row-echelon form? Note: Mark all of your choices. 1 -6…

A: We are asked to find which is row-echelon Form.

Q: Find the rank of the following matrix: 1 1 2 1 1-a 2 2 2-а 6—а 4

A: we have to find the rank

Q: Given the following matrices A and B, find elementary matrices E and F such that B = FEA: You can…

A:

Q: - 4 8 3 2 Find the following matrices where A = 8 and B = 6 - 5 9 - 1 - 9 - 1 а. А + В b. А - В с. -…

A:

Q: 1 The matrix product is equal to ㅇ(3 -2 2 2 O ( ) 2 ㅇ (3) -2 2 ㅇ(3 ) -2 -2

A:

Q: Example 1: For the matrices A = 0. and B= compute AB andA-1 and B-1 and (AB)-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: Given the matrices below and that A = LU, complete L¬1,U-1, and A-1. 1 -2 -1 1 01 -2 -1° A= 2 -3 -5…

A: We use Gauss elimination method to find L-1, and U-1. After that by using (LU)-1=U-1L-1, we find…

Q: Question 3 2 3 11 Which is the matrix inverse to the matrix 3 2 1 10 1

A: We have to find inverse

Q: Which of the following matrices is in Row Echelon Form? * [1 4 3 0 -5 2 0 1 None of the mentioned…

A:

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: -1 Find the product of matrices of A = 1 and B -2 -1 3 0 2 1 -1 0

A: The given matrices are: A=-1310-2-1,B=3021-10

Q: 1. Find the rank of the following matrices -2 [ 1 2 3 1 2 -2 -3 -1 3 2 (i) ( ii) -2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: If A and B are 2 square matrices of the same size such that det(A) = -3 and det(B) = 4, then 4 det…

A:

Q: 1.) Determine the matrices C = A + B andD = A - B if %3D 8 9 -2 A 8 -7 -4 B -9 -4 2 -3 -4

A:

Q: ". (^) ", (2)". Use the inverse matrices to find (AB and ( 2A -2 1 2 4 2 2 3 1 A-1 1 1 1 %3D B-1 %3D…

A:

Q: 5. Given the following matrices: [A] = [B] = { C) - 1 -1 0 -2 %3D -1 3 Find [A][B][C] b. Find [A][C]

A:

Q: Given the matrices: 2 0 4 7 4 1 E = 0 1 8 7 9 5. 0 0 1

A:

Q: Consider the matrices. -4 -1 -8 8 -1 -2 -6 A = B%3= and -3 -7 10 -6 5 -9- What matrix results from…

A: A matrix can only be added to another matrix if the two matrices have the same dimensions . To add…

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

A:

Q: 3. Consider the following matrices: -4 3 -7 4 7 -4 A = В — 2 8 -3 -2 3 -2 -5 -1 -5 3 -7 D = and E 2…

A: The given matrices are                               A=3  -7    42     8 -3…

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: Given the matrices below, find AC. -2 0 4 [5 -4 3] A = and C = 6 -5 1 [0 6 -7 -3 7 2

A: To solve this problem, we use the  matrix multipication method.

Q: Given the matrices A= 1 −4 −1       4 3 −1      4 −4 −2 and B= −5                0…

A:

Q: Given the matrices A= 1−4−1                                          43−1…

A:

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

A: Given that: A=-3528-13