(a) Find the inverse of the matrix -4 -3 A = 5 -6 -8 -1 -1 A-1 (b) Use the answer from part (a) to solve the linear system 4x1 4x2 3x3 -5 5x1 6x2 8x3 -3 1 x2 x3 I| || ||

Q: 3 -3 -8 A = 3 -4 -12 1 -1 3.

A: Find the inverse of the matrix

Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

Q: Solve the matrix equation -4 -1 3 -1 -2 2 for X. (C) [;3] 11 -1 1 -2 -9 11 (A) 2 (B) -2 6 (D) -6 7…

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Q: Solve the matrix equation for X: 1 -1 2 - 14 -2 0 X 4 0 1 5 -1 3 i i X = i i

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Q: I. Multiply Matrices A and B then validate if the product matrix is matrix C -20 0 4 a.) -7 -3 -2 -1…

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Q: (a) Find the inverse of the matrix A. A- (b) Use your answer from (a) to find the solutions to the…

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Q: Find (a) the nullspace, (b) the nullity, and (c) the rank of the matrix A. Then verify that rank(A)…

A: It is given that,  A = 10-204-24-2-2013. a) Find the null space of A. b) Find the nullity of A. c)…

Q: Consider the matrix A = A. Verify that the matrix B: = I. 2 1 = = B. Use this fact to solve the…

A: AA-1= A-1A = I; where 'I' is the identity matrix.

Q: Use an inverse matrix to solve system of linear equations.

A: Find the inverse of the matrix. Augment the matrix A with the identity matrix I and evaluate the…

Q: Use the inverse of a matri:

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

Q: Find the matrix of the quadratic form 2x12 + 3x22 – x32 – 4x1x2 - 2 x1X3 + 6 x2x3 2 2 -1 2 -2 1 (a)…

A: We have to find Matrix of the given Quadratic form.

Q: Let A = - 3 7 6-1 -3 -6 and B= 0-2 9-6 Solve the matrix equation - 3X + 4A = B for X. -4 -1 X =…

A: To find matrix X

Q: -

A: We will solve the matrix.

Q: Solve the matrix equation AX = B for X 3 - 2 -1] - 2 A = - 3 - 2 B = 14 %D - - | 2 2 1 4 X =

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Q: 2 -3 For matrix A = -2A? will be %3D -1 4

A: See the attachment.

Q: Use an inverse atrix to (a) x₁ + 2x₂ + x3 = -2 X1 + 2x2x3 = -4 X1 2x₂ + x3 = 2 - (X1, X2, X3) = (b)…

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Q: A = 1 0 1 2 1 41-2 34 2 2 1 -1 2 21 -1. LO 10

A: The solution is given as

Q: Consider A = 112 0 1 2 (a) Find A-¹ by using row operations on [A1]. List the one you use in order.…

A: Given That : Matrix A=123112012 To Find : 1) A-1 using row operation 2) A-1 using row operation 3)…

Q: Use an inverse matrix to solve each system of linear equations. (a) X1 + X2 - 4x3 = 0 %3D X1 - 4x2 +…

A: System of linear equation: Let  Anxn=Bn be the system of linear equations of order n and here An and…

Q: -4)· (- 1 2 -4 1 -3 2 1 17 -31 (d) -2 -4 16 16 9 10 -8 e? This set is

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Q: adioint of the matrix.

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Q: (b) Find a real symmetric matrix C of the quadratic form: Q(x1, x2, x3) = x+ 4x3+ 6x3+ 2x1x2…

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Q: If A is a 3 x3 matrix and det(A) =-3, what is det(4A)?

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Q: On the augmented matrix A below, perform all three row operations in the order given, ((a) followed…

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Q: Let 0 -2 6 =| 0 1 2 A= -3 1 4 -3 4 (a) Use the Inverse Matrix Algorithm to find A-1. (b) Solve A =…

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Q: Use an inverse matrix to solve each system of linear equations. (a) x₁ + x₂ - 2x3 = 0 X1-2x2 + x3 =…

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Q: Use an inverse matrix to solve each system of linear equations. (a) x1 + X2 - 2x3 = X3 = X1 - X2 -…

A: To solve the system of equations using matrix inversion method

Q: Consider the matrix -2 0 -3 -1 -1 1 0 -2 B = A = −1 -2 -2 -3 2 3 Perform the following row…

A: Solution

Q: 3 1 Let A Solve the matrix equation -3 -1 XA - X = 2AT + I for X.

A: To solve the matrix equation XA-X=2A^T+I

Q: Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear…

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Q: Solve the matrix equation for X: 1 -1 2 – 15 -3 | 0 1| 8 -5 11 i i X =

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Q: (b) Solve for the matrix A if given 33(2A- 31)

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Q: Provide the symmetric matrix that generates the following quadratic form Q(x): x+2x+3x3 + x₁x2 - 2X1…

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