2. Consider the matrix 1 2 3 B = 2 3 4 3 4 6 (a) Show, by calculating det B, that B has an inverse B-1? (b) Use elementary row operations in the augmented matrix [B : I] to find the inverse B-1.

Q: 2. Consider the matrices [3 4 A= 2 -7 -1 8 [3 C = 2 -7 -1 2 -7 1 8 1 5 4 1 B = 2 -7 -1 1 4 1 3 Find…

A: Elementary matrix are obtained from Identity matrix using elementary row operation on Indentity…

Q: -1 Give the co-factor of matrix C, where C = 1 2 1 1 5 2 1 1 -1 2 -4 5 2, -1 3 1 B -2 6. -2 3 -9 3…

A: Given,            C = 1-1-4125112

Q: Consider the two matrices: 4 -5 1 B = A = -6 -3 Compute A +3B. The result is equal to:

A: GivenA=24-60 B=1-5-32To compute12A+3B

Q: Which of the following matrices corresponds to the elementary row operation 3R1 + R2 → R2 on.a 3 x 3…

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Q: Demonstrate that A A-1 = A-1 A = I

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

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Q: Zuunom 3 9 12 15 Find the inverse of the given matrix, if it exists: A = I 0 0 A-1 - A-1 = A-1 11 12…

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

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Q: 3. (a) Use a method based on augmented matrices to compute the inverse of [1 0 0 0] 2 2 0 0 M 3 3 3…

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Q: 1. Express 401 0 1 0 40 1 3 5 as a linear combination of the columns of the matrix on the left, and…

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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: Find the numbers of the pivots to the matrix below: 2 1 1 1 2 -1 0 1 4 4 4 -3 11 O 4 O 2 O 3 O 1

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Q: What is the correspondence of the following matrix? 1 0 0 In = 1 0 0 1

A: One to one correspondence

Q: 6. (a) Find the matrix A so that AB=C, where C1 C2 C3 b, b, bz 2 B= b, b2 b3 & C= C1 C2 C3) а, а аз…

A: AB=C

Q: Consider the matrix [1 2 3] B = |2 3 4 3 4 6 (a) Show, by calculating det B, that B has an inverse…

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Q: matrix. A= [7   -9      5 0      5      4

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Q: Find the inverse of the given matrix if the matrix is invertible 3 4 1 0 (a) 2 5 -4 [1 0 1 0 1 1 1 1…

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Q: Which of the following matrices corresponds to the inverse of the elementary row operation.. 3R1 +…

A: We have to find the matrix of given operation.

Q: For the matrix A. det(A) = 16 B. det(A) = -30 C. det(A) = 0 O D. det(A) = 30 OE. det(A) = -16 %3D

A: We try to solve determinant using some elementary row operations.

Q: 9. Solve the matrix equation C-A(X B) = D for X. Note that A, B, C, D, and X are all n x n…

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Q: 1 1 2] X =| 2 2 2 3 1 Calculate the inverse of the matrix 4 by using the result of Cayley Hamilton…

A: The solution is given below in the next step:

Q: DEMONSTRATE THAT A A-1= A-1A = I      FOR THE MATRIX BELOW     1 -1 2 2 -3 4 1 0 3

A: Given matrix A=1-122-34103 We have to  prove that AA-1=A-1A=I We know that A-1=AdjAA

Q: 8 Consider a square matrix B whose inverse is given by B'. a In terms of B", what is the inverse of…

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Q: 7. For a matrix B= 1 0 0 1 -1 0 5-1 -3 find B¹ by using the Cayley-Hamilton theorem.

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Q: 2 : Find the inverse of the matrix 1 -1 A = 2 -() 3 1 with using the Cayley-Hamilton theorem.

A: The Cayley Hamilton theorem states that every square matrix satisfies its characteristic equation.…

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

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Q: Find the inverse of the matrix A using row operation if A is a non-singular matrix, where, 1 -1 A =0…

A: Given,

Q: [1 A 2 1 0 and b : 3 2 3 Jse Gauss-Jordan elimination to compute the inverse of the matrix

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Q: verify that the matrix B is the inverse of the matrix A. - 3 -1 A В %3D 3 -4 [ 1 1 -1 0] -1 2 B =1…

A: (1).  The given matrices: A=112232          and        B=  3-1-4   2

Q: Find the inverse of the matrix ... Choices: -3 1 3 ... 10 [-7/2 3/2 8 c. 10 [7/2 3/2 1/2] a. 4 1 4 1…

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Q: 2. Determine the products C = AB and D = BA if 4 -7 -5 1 -9 -1 3 -5 2 7 6 A = B -13 -4 -3 11…

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Q: Find the inverse of the matrix A1 using Gauss Elimination Method 1 1 -1 2 r1 1 2 A 1 -1 3 3 2 1 2-

A: Let us consider the matrix A then the inverse of the matrix exist if  A must be a square matrix the…

Q: Find the inverse of the matrix A using row operation if A is a non-singular matrix, where, 1 -1] A…

A: NOTE:We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the inverse of the given matrix if the matrix is invertible 3 4 1 0 2 5 -4 [1 0 1 0 1 1 1 1 0 1…

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Q: 1 3 2 6. 4 7. Find AB + AC, if A = [5 6, B = -- and C = 2 3 - 3 5 2 5 4 1 40 А. 48 D. 7 B. [48 7 51]…

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Q: Given the Matrix Below 5 -4 7 1 10 -2 7 -1 9 A = B = 2 9 -10 2 6 -2 O 5 2 12 -4 1 a. A+' (using…

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Q: [4 1 21 tA-3 4 2. B-1 -2 3, and C-5 0 2 Lo 3 2] [-1 0 5 [1 2 -3] [1 4 -3) 1 -1 1 [s 20 Find the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 2- Consider the matrices A = [₁²1], B = [₁ J₁ C=__=₁} K₁ = [50], K₂ = [₁²2] Solve AX + BY = K₁ CX +…

A: Given: The matrices are A=3211 ,B=0110,C=111-1, D=11-14,K1=5000 and K2=21102. To find: The matrixes…

Q: 3 -1 0 2 4 N O

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Q: Find the inverse of the given matrix if the matrix is invertible 1 0 0 1 1 1 1 0 0 1] [3 4 -1 1 0…

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Q: Find the inverse of the matrix 0 1] a) 2 b) c) OA OB OD OC 1|3 WIN 0 1 2 1 3 2. 0 3 0 1 3 2 0 using…

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Q: Find the minor M12 and cofactor A12 of matrix A. 1 6 A = 3 3 -2 0 1 8.

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Q: Show that AB and BA are not equal for the given matrices. 1 1 4 B = 1 1 4 4 A = 1 1 4 5 1 1 4 4

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Q: Consider the matrix -1 0 -2 1 1. A = 2 -1 3 Express A in the form A = EFGHR, where E, F, G and H are…

A: The operations which reduces a matrix into row echelon form, the same operations applied on identity…

Q: 2. Find the Inverse of the matrix A-1 (If it exists). 1 3 4 A¬1 -2 1 %3D 2 -1] |

A: We have to find inverse of the matrix( A-1)-1.

Q: (b) Find the inverse of the matrix A using row operation if A is a non-singular matrix, where, [1 3.…

A: Given :          A = 13-223001-1   To find the inverse of A. Also, to compute 3A-1.

Q: 1. Solve for the element 4-2 of the inverse of matrix A below. 8 -1 A = 2 1 6 3 1 2 4 1

A: We have to find out first inverse of matrix A and then find element 4-2 means fourth row and second…

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

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Q: Consider the inverse A- of matrix A [1 2 A = [ 2 1 4 li 0 2 -2 а12 -5 A-1 = |a21 1 -2 %3D 1 -2 азз…

A: NOTE: Refresh your page if you can't see any equations. . find the inverse matrix