1 1 2 Q1. If [A]=3 k1where k is constant. %3D 4 2k i) For what value(s) of k the matrix A has an inverse? ii) Find A.

Q: 1. Calculate exp(A) where A is the 2×2 matrix given by A 7 -2 -[33] = 5 5

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Q: 4. 1 -₁ 3 Let B= a. 2 -1 Find B¹ using the formula for the inverse of a 2x2 matrix. b. Find the…

A: Inverse of a

Q: B = -2 {[1] ·[5]} and = {[] [4])} C 3 are bases for R². Complete the augmented matrix used to find…

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Q: 1 3 4 A = 41 2 3 4 5 Answer each of the following questions and enter each of your answers as a…

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Q: 1 -2 1 -1 1 -1 1 -1 0 does the inverse of the matrix exist? en the matrix - answer is (input Yes or…

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Q: Using row operation find the inverse of the matrix for any real number k [1 5 8 9] 7 2 6 8 M = 6 5 3…

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Q: H.W:- Find the determinant for the following matrices: 4 6] 1. X =-1 -4 answer: X =-108 3 2.

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Q: Create TWO (2) of your own square matrices with 3 x 3 or 4 x 4 dimension and label it as Matrix  A…

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Q: ii. the missing elements of the adjoint of M, (-11 1 13 adj(M) = -9 an a2 3 a a33) :=

A: A detailed solution is given below

Q: Given the matrix 0 -5 11 6 Introduce the "- R" term to the diagonal of the matrix. -5 - R (A 11 - R…

A: Given query is to add -R in diagonal of matrix.

Q: Use the matrix P to determine if the matrices A and A' are similar. P =   −1 −1   1 2,   A =   14…

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Q: H.W:- Find the deteminant for the following matrices:

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Q: Consider the following matrix: 1 7 -5 4 3 B = 3 2 1 -1 Using the adjoint method for inverses, find…

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Q: Evaluate the ff. Given: A 1 -1 1 -1 2 3 2 0 y 1 1 -2 4 3 4 1 1 1 -1 find: a. Transpose of matrix A…

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Q: Find the inverse of matrix A given below using the formula A1 = CT |A| -6 -4 -4 6 A = -1 -4 -6 -1

A: The inverse of a matrix A is defined as AA-1=I, where I is the identity matrix. In this problem the…

Q: -1 1 3 14 2 2 -6 2 -4 -1 -1 9 2 -6 -2 -8 1 -1 on form of A. Do not write every step, A = 3 bo

A: We are given the matrix A.We have to find column space, null space and row space.

Q: Q3A. Compute b11 for the inverse matrix B-¹. B O - 2 -5 2 -6 -3 12/07 -1 1 3 12/07

A: B-1 can be calculated by calculating determinant of a matrix and then dividing adjoint of the matrix…

Q: Use the determinant of a matrix to find the area of the triangle whose vertices are (0, 2), (4,-4),…

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Q: The (3, 1)-cofactor. The (3, 3)-cofactor.

A: We have to find the cofactor of (3,1) and (3,3).

Q: Q4. Determine and verify the inverse of the following matrix A=1 3 2 I 2 5

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Q: Find the matrix A such that 10 [-13]4 ;]₁ = [ A -1 3 Hint: Let A = A = a b [26] d -1 -5 2 8

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Q: If A and B are two square matrices 4 * 4 and |A| = 6 and |B| = -7. Find the determinants of the LARI…

A: Determinant of AB is -7 × 6 = -42. Answer is -42.

Q: Q10. If the adjoint matrix (ACT) of a matrix A is given by 2 2 of A is (-2 1 2), then the det (A)…

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Q: 0 -2 2 -1 B = 1 4 -1 3 4

A: We have to solve given problems:

Q: Q2: Find the inverse of the matrix M =

A: The given matrix is: M=-312-1 Formula: The inverse of the matrix A=abcd is: A-1=1ad-bcd-b-ca By the…