1 0] -3 6 3.I do this 0 0 1 1 I have started the process to find the inverse of the matrix A = 1 by adjoining the identity matrix to A to form the matrix A I. Then use elementary row operations to obtain the form [I A-. We have: 1 1 -3 6 3 0 1 032 1 -2 -1 0 - 0 10 0 0 0 1 1 0 10 0 0 1 0 0 -R2+R2 [A I] 1 0 0 0 0 1 1 Continue using elementary row operations by hand to find A. Show all of your work.

Q: find an elementary matrix E that satisfies the given equation EC = D

A:

Q: A B E Q1. For the two matrices A = (; ), A = (6 7). -8 18 AB = ? Q2. In the triangular decomposition…

A:

Q: [1 2 3] 1. Let A = |1 1 2 Lo 1 2] a) Find A-1. 1 0 0 1 -1 1 3. Given A = |1 -1 1 lo 1 0 -1] b) Write…

A: To find  The inverse of the given matrix A.

Q: 1 0 0 A is a 4 x 3 matrix. If BA = 0 1 0 then the size of B is 0 0 1 O 3 x 4 O 4 x 3 O 3 x 3 0 4х4

A:

Q: 1. Consider the matrix 1 1 3 1 6 1 -1 2 1 -2 16 1 2 -1 0 1 A = -3 4 3 (a) Find row space, R(A), and…

A: Consider the given information: The given matrix is A=113162-101-1-321-2141613 To find the row…

Q: [1 2] Find a matrix X such that AXB = C, where A = 2 1 0 0 [2 0 B and 0 1 1 1 C = 0 1 -1

A: For multiplication of the two matrices there is a condition which says Number of column of first…

Q: 3 [2 4 A = 0 -2 0 L4 -2 6 Consider the given matrix. Determine det(A), the cofactor matrix of A and…

A: Use adjoint of matrix

Q: [1 47 3 Let, A = 3 be a 4x4 matrix. Find det (A) and det (2A"A). 2 L4 3 1- O 0 o 2N. O502 2.

A: Remember the property of matrix that |A|=|AT| then simply find the determinant and do the…

Q: A B E Q1. For the two matrices A = (; ), A = (6 7). |-6 ) -8 18 AB = ? Q2. In the triangular…

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Q: 1 1 Given that matrix P=|1 0 |0 -1 2 1 , find the matrix A such that -2 0 0 P'AP=| 0 -2 0 0 4

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Q: [1 0 1] [1 2 3 01 0 120 10 1 0 1U Consider the matrices A 0 0 0 1. [1 2 C=0 0 0 0 1 0 0 41 And Which…

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Q: 1 0 1 to diagonal | Find a matrix P which transform the matrix A= 1 2 2 form. Hence A. 3. 2.

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Q: 1 0 3 -2 -1 3 3 2 1 2 Let A and B be A = 2 1 B = -2 -1 3 2 1 0 Find an elementary matrix E such that…

A:

Q: 1 -1 1 -1 1 3 -1 1 Let, A = -2 1 4 -1 3 3 -1 -5 1 -6, a. Find a 5x5 matrix B such that AB 0, where 0…

A: It is given a 4x5 matrix A In part (a) we can take the zero matrix B such that AB=0 as there is no…

Q: 1. Find the general solution of x =x2 – x1 + t, x, =x2. 1 2 3 2. Explain why we cannot aclculate the…

A:

Q: [1 0 [9 0 01 c) A-2 = |0 4 0 Lo o 1l 9. Find a matrix A that satisfies a) (3.4) =0 -1 1 |0 0 -1| 2.

A: ANSWER :

Q: 2 1 0 0 0 2 0 1 3. Let A and Ba 4 x 4 matrix with det(B) = 3. 0 3 1 -1 2 0 1 (a) (3 marks) Find…

A:

Q: 1 -1 2 1 | -1 1 3 -1 1 Let, A = -1 3 -6 -2 1 4 3 -1 -5 1 a. Find a 5x5 matrix B such that AB = 0,…

A: Note :- You can cross check yourself to see that AB = 0.

Q: 1 -2 4 8 1 6. Let A: 1 -1 -1 1 (a) Apply elementary row operations to A and reduce it to an upper…

A: See the detailed solution below.

Q: 1 -1 0. 1 -1 1. The inverse of a nonsingular matrix A is the matrix Which of the following 1 -1 0. 1…

A:

Q: 1 1 3 1 6 -1 2 2 1 -2 1 Consider the matrix A = -3 -1 1 4 1 6. 3 i. Find the row space, R(A), and…

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Q: 2 1 -2 Suppose that a 3 × 3 matrix A has det A = 1 and that its cofactor matrix is C = 1 1 -2 -1 0…

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Q: 1. Consider the matrix 1 1 3 1 6. 2 -1 0 1 -1 A -3 2 1 -2 1 4 1 6 1 3 (a) Find the row space, R(A),…

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Q: 2 0 Let A = -2 1 -4 and B = 1 Find an 1 -1 1 0 -1 elementary matrix, E such that EA= B. a) 1 0 1 1 1…

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Q: 1. Consider the matrix 1 1 3 1 1 -1 2 1 -2 1 6 2 -1 0 A = -3 1 4 1 3 (a) Find the row space, R(A),…

A:

Q: 1 -1 2 1 -1 1 3 -1 1 Let, A = -2 1 4 1 - -1 -5 1 -6 a. Find a 5x5 matrix B such that AB = 0, where 0…

A:

Q: 1. Consider the matrix 1 1 3 1 1 -1 2 1 -2 4 1 6 2 -1 0 A = -3 1 3 (a) Find row space, R(A), and…

A: A transformation is called linearly independent when the nullity of the transformation is 0.…

Q: 1. Consider the matrix 6. 1 -1 21 -2 1 1 3 1 2 -1 0 A -3 1 4 1 6 1 3 (a) Find row space, R(A), and…

A: As per guidelines, we will solve first question only. 1. Given matrix is A=113162-101-1-321-2141613

Q: 1. Consider the matrix 1 1 3 1 2 -1 0 1 -1 A = 2 1 -2 1 6 -3 1 4 1 3 (a) Find the row space, R(A),…

A:

Q: -1 -1 1] 1 Compute the QR factorization for the matrix A : 3 3 -1 -1 5 | 1 3 7

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 2 1 2 A = 2 2 1 -R2+ R3 - R3 1 to the matrix | - R1+ R2 - R2 , -R1+ R3 - R3 and respectively 31- 1 1…

A: By applying basic row operation Answer is option B

Q: Find the characteristic equation for the matrix A 3 0 0 A = 0 1 -1 0. 1 3 -X3 – 7X? – 16X + 12 = 0…

A: Use the method of characteristic equation to find it as in next step.

Q: [1 0 1 10 1 1 1 0 ve B =|0 1 -1 Since the matrices are rowwise equivalent and EA = B, which is the…

A: Solution of the problem as follows

Q: 1. Consider the matrix 1 1 3 2 -1 0 2 1 1 6 1 6. 1 -1 A -3 -2 1 4 1 3 (a) Find row space, R(A), and…

A: As per Bartleby guidelines for more than three subparts in a question only first three should be…

Q: 2. Consider the matrices [2 0 -1 D = |1 4 5 4 [2 -1 0 1 1 0 3 A B 3 and F = 0 15 2 (a) Show that A,…

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Q: 1 0 0 2 et A= 2 1 -1 -1 1 -1 a) Apply elementary row operations to A and reduce it to an upper…

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Q: 1. Consider the matrix 1 1 3 1 2 -1 0 1-1 A 2 1 -2 1 6 1 -3 1 4 3 (a) Find the row space, R(A), and…

A: A=113162-101-1-321-2141613 To find: 2:  (a) , (b) ,(c) as per guidelines.

Q: [1 2 1] Given A = 2 3 1 4 0 1] x, C =-2 1 o and D=[2 1 4]. 5 B =-2 w 3 4 2 y 3 z [-2 a (a) Find the…

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Q: (1 2 2 1 2 2 b) Let A =| 0 -2 0and B =| 0 1 Find the elementary matrices E,, E,,E, to multiply A, to…

A: We have to find Row Elementary operations to get Matrix A from Matrix B.

Q: 3 -2 -1 and B 2 -1 -2 3 3 3. -2 1 -1 -1 1 -1 2 7 2 3 3 Find an elementary matrix E such that EA-D. 1…

A: An elementary matrix is one which differs from the identity matrix by one elementary row operation.

Q: 1 0 0 1 -1 1 -1 1 1 1 0 a) Find A-¹. b) Write the corresponding elementary matrix for each row…

A: We will solve the given question using the inverse matrix method To find the inverse of matrix A…

Q: [1 0 0 Let A = 2 1 0 and b = 1 3 2 3 (a) Use Gauss-Jordan elimination to compute the inverse of the…

A:

Q: (iv) Given the matrices 3 1/3 -1/6 and B =D 1/2 A =0 Verify that AB BA = I where I is the identity…

A: Given that A=3102 and B=13-16012 verify AB=BA=I

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: 2. Using Gauss-Seidel, compute a solution to the problem Ax=b w matrix of the form 2 -1 0 0 -1. 2 -1…

A: Given Data: Let us consider the given matrix  A= 2 -1   0   0...........-1-1   2  -1…

Q: 1 -1 0 1 Construct a 4 x2 matrix D, using only 1 and 0 as entries, such that AD = I2. Is it possible…

A: In the given question, the concept of the matrix is applied. Matrix A matrix is a rectangular array…

Q: 1 0 1 A = 1 1 0 1 -1 0 ve B = 1 1 0 Since the matrices are rowwise equivalent and EA = B, which is…

A: We have to find matrix E.

Q: 1. Consider the matrix 1 1 3 1 6. 2 -1 0 1 - A = 2 1 1 6 -3 -2 1 4 1 3 (a) Find row space, R(A), and…

A: A transformation is called linearly independent when the nullity of the transformation is 0.…

Q: 1 1 3 1 6. 2 -1 1 Consider the matrix A = -3 1 -1 1 2 1 -2 4 1 3 i. Find the row space, R(A), and…

A: This question is from matrix.

Q: 4. Consider the matrix (0 1 d B = | 1 c 0 0 0 1 (a) Use Gauss-Jordan Elimination to compute the…

A:

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.