1 4 3 51 Given matrices A = |-1 -1 2 1 and B = 1 -2 1 [2 1.) Aadj 2.) A-1 3.) B/A

Q: [5 Consider matrices A =9 -11 11 and B =|0 -1] Two elementary matrices -4 c) 2. 8. 4 1 -1 3 -4 2. E…

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Q: 1 2 3 2 2 3 5 1 134 5 (b) Find the rank of the matrix A =

A: 1. We know rank of any matrix and rank of its reduced row echelon matrix are same. 2. Rank of a…

Q: 2 1 -1 3 1 2 1 2 0 b) Calculate the rank of the matrix P = 3 1 1 1 |-1 -5 -3 -7 3

A: Given,

Q: 1 [2 B = L6 Given the following matrices: A =

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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: -3 1 2 -4 1 2 - 9 1 4 Given that A and B 41 -4 -18 find two elementary matrices C and D so -30 1 3 1…

A: We are given:A= -3120-412-301                      B= -91441-4-18-301Now , elementary matrix are…

Q: 1 2 3 -27 2 -5 1 If A then the = 3 -8 -12 -1 rank of the matrix A is

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Q: [1/V14 2/7 2/V14 -4/7 1//21 5/7 [3/V14 2/7 -2//21 [1 4 8 4//21 [14/V14 28/V14 28/V14 20 1 A : 7 = QR…

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Q: 2 1 -1 3 1 9. Calculate the rank of the matrix P = | 2 1 2 0 3 1 1 1 |-1 -5 -3 -7 3|

A: P=210-131212003111-1-5-3-73

Q: Express A and A-1 as a product of elementary matrices. 0 5] A = 0 1 6 1 0 3] [1 0 5] 0 31

A: Here in the given question matrix A is given and objective is to express A and A-1 as  a product of…

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.

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Q: Find the matrix A given that 1 2 (I +2A)-1 4 5. O a. 4/13] 1 -2/13 13 O b. [-9/13 1/13 2/13 -6/13…

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Q: ' 1 2 3 What is the rank of the matrix A = -1 1 3 0 -1. O 2 O 3 O 1

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Q: 8. 3 a) Let A = ( 6 1 3 ,B = 6 -2/ %3D 1 Then find the matrix AB. -4 -1

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Q: 3. Show that A and B are not similar matrices. [1 2 0 A = 0 1 -1.B [2 1 11 ,B= 0 1 0

A: # as per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: 1 1 -1 -1 -2 -1 | If A = -3 4 B = 6 12 6. 3 -2 5 10 5 Show that AB is a null matrix and BA is not a…

A: Solution: Given data is:

Q: 2 3. 1] Given that matrix P =0 2. Find the matrix A such that A = PBP 1, where 1] -1 1 -2 0 01 B is…

A: Given:The matrix P=2310-12101 , B=-200030006To find:we have to find the matrix A such…

Q: \8 9 (3 2 1 5. Find the co-factor A21 of the matrix 0 -1 \2 2 2 6. Find the co-factor matrix of -1…

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Q: 1 3. В- (8 -3), С- 1 -2 -2 D= 1.1 Consider the following matrices: A= find: 1.1.1 Ax B 1.1.2 C 2D…

A: Note: As per company policy we have to solve only 3 subparts of the question. Please post the next…

Q: 5 3 3. Given the matrix C = find a matrix X such that 2 2 (b) XС + X —I (c) (X" – 21)-1 =C

A: To solve the following matrices

Q: 3 1 2 Compute the adjoint matrix of A = 3 2 2 1 2 3 Select one: 1 4 а. -7 8 4 -5 3 1 -2 O b. -7 7 4…

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Q: 3] [1 2 Find A¹ of The Matrix A = 3 2 -1 3 1 2]

A: As per the instruction, we will be answering the first one. Given: Now,…

Q: 1 2 Let (A-21)-1- 3 4 where / is the identity matrix,then AD Select one: a. -2 1. 3 b. 4 -2 -3 C. 0…

A: A detailed solution is given below.

Q: -2 -2 -4 A = - 2 -5 2 - 4 2 -2 Enter the matrices P and D below.

A: In this question, we find the diagonal matrix and matrix P corresponding to given eigenvalues.

Q: 1 -1 2 a) Find the matrix A if (3A) =0 2 0 3 -1 4

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Q: [1 CT = 1 -2 2 -1 2 1 Given matrices A=0 3 -1 B = ATB = 1 -1 -1 2 2 (В+ с) ВТ

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Q: 1 8 A = 3 5 2 2 Find all 2 x 3 matrices B such that AB = I3, where Iz is the 3 x 3 identity matrix.

A: We have to find Matrix B

Q: 1 3 1 -1 0 1 Consider the matrix A = -3 2 1 -2 1 4 1 6 1 3

A: Let us apply elementary row operations on the augmented Matrix [A|b] to reduce it in row reduced…

Q: [2 -1 Let A= 5 2 B= 7 4 2 5 C= 3 3 4 8. Find the matrix D such that CD-AB=0.

A: We have given the matrices A, B, C such that CD-AB=0 We have to find the matrix D

Q: Q.1 Consider the following matrix (-1 3 0Y A = 2 0 2 2 1 4 1 B- 2 -1 5 -3 0 1 10 C-2 A. Show that a.…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

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

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Q: |2 0 if A=| -3 -2 4 and B= 1 find the Matrix X such that 3A+4X=5B 1 3

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Q: [3 Given A = 2 2 1 1 3, find [4 1. the lower triangular matrix. 0. 0. 0. 01 a. 2 -1/3 -2/3 -5 01 С.…

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Q: [4 [2 1 B = Given the following matrices: A %3D %3D l6

A: Given matrix is A=412−3 and B=206−2. We have to find the transpose of the matrix A and B.…

Q: 1 1 0 [-7 1. 4. Given that A = - 8 find two elementary matrices C and D so 0 1 0 and B -2 0 1] 14 -1…

A: Given: The matrices  A=110010-201  and  B=-71414-1-8-201

Q: 2 0 0 3 -2 0 1 -1 Consider matrix A = -7 2 4 -2 0 0 5 Calculate det (A³) 1.

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Q: [13] Find a 2×2 matrix A other than the identity matrix for which A (r ר 75 7) -1 [][] 11 -1 1 1 -1

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Q: 1 4 5 Let A = 8 8a -6 . If a = -1 then the rank of a matrix a |1+a? 8a+4 2a+21 A is

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Q: 16. Transpose the Matrix-2 a. C. 312 d. b. 1 -1 12 2 30 TINTO 1 2 -2 -1 3 1 −1 2 -2 2 • -2 0 2 −1] 2…

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Q: (2) Let A be 3x3 matrix with 4|| = 4 Find : (a) det(( 3 4 )²(2 4)') ) det( 2 A + 3 adj ( A ))

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Q: 2, 1 0 2 0 0 0 2 0 0 0 2 Are the matrices 2 1 and similar? Yes No 0 2

A: Given matrices are  210021002 and 200020002

Q: -3 Find the matrix A if (I +2A")¯' = | -2 1

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Q: 5 2 2 5 Let A= 3 -1 B = 4 7 4 3 8 Find the matrix D such that CD - AB= 0

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Q: 10. Find a diagonal matrix A that satisfies the given condition a) b) [9 0 0 A- = |0 4 0 A = |0 -1

A: Diagonal matrix are the matrix whose all entries except the diagonal entries are zero. Diagonal…

Q: 0 11 0 2 1 5] 3. 2- Find A. A-1 if the matrix A is given by: A = -1

A: As per our guideline we are supposed to answer only first asked question.kindly repost other…

Q: 8. Given the matrix B = |1 1 1 1 1 1 Which of the following matrices solves X in the matrix equation…

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Q: 6 6 4. -6 10 -1 23 10 0 -2 -11 3 B = -5 -11 9 -3 1. Given the matrices A = C =[-3 2 9 -5 7]. 1 -1 3…

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Q: 3 0 1] 0 2 1 5 2- Find A. A-1 if the matrix A is given by: A =| 0

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