Find the inverse of the elementary matrix. 1 0 0 0 k 0 0 0 1 k # 0

Q: Let A be the matrix Find p(A). p(x) = x – 2x +4 i 5 i p(A) = i

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Q: Find the power of A for the matrix A = A19 000o 100 700 o

A: The given matrix A isA=-100000-100000-1000001000001To find the power of matrix A19.

Q: -1 0 0 0. -1 0. 0. The inverse matrix of A = 0. 0. is A-1 0. 1 0. 0. What is the value of c? 0. -1…

A: We have to find the value of c.

Q: (b) Consider the following 3 x 3 matrices: 1 2 3' A = | 4 5 6},B= 0 3 0 7 8 9 '1 0 ' -1 0 1 0 5 6 3…

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Q: -2 12 Let A = -1 5 Find a diagonal matrix D and an invertible matrix invertible P such that A = P…

A: In this probelm we have to solve this question by daigonalisation of matrix .

Q: A = Determine the rank and nullity of the matrix. -20 -20 1 -16 5 5 0 4 -2 The rank of Al is The…

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Q: give the rank and th e nullity of the matrices in the given exercises.

A: give the rank and th e nullity of the matrices

Q: OFind the inverse of the matrix, M, given below. [1 3] M = 2 7

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Q: 2 k Find a value of k (if there is one) for which the matrix A = k 3 0 k – 1 5 k is invertible. Find…

A: The determinant of A is 0 for all values of k. So, A is not invertible.   The detailed solution is…

Q: 1 4 1 1 2 7 2 2 Let A = 1 4 7 8 4 2 2 Decide whether the matrix A is invertible, and if so, use the…

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Q: Express the matrix and its inverse as products of elementary matrices. 10-4 A =0 8 6 0 01

A: A = 1 0 -4 0 8 6 0 0 1 Here expressing A as a product of elementary matrices we get ,…

Q: 1 2 3 5. (a) Find the inverse of the matrix A = 2 4 5 As always, show your work. 3 5 6 (b) Suppose…

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Q: Го 1 as a product X = E,E2E3 of elementary matrices. Write X 5 -40 E E2 E3 || ||

A: Columns operation to a matrix is equivalent to multiplication by corresponding elementary matrix at…

Q: Find an invertible matrix P and a diagonal matrix D such that P-¹APD. 1 -8 20 A = 0 9 -20 04 -9 000…

A: We know that a diagonal matrix is a square matrix whose diagonal entries are non-zero and all the…

Q: Find the spectral decomposition of the matrix -2 0 -36 0 -3 0 -36 0 -23 B =

A: Given: Let consider a given matrix, B=-20-360-30-360-23 To find the spectral decomposition of given…

Q: Find the elementary matrix E such that EB = A where A = E = 4 4 9 '1 2 -1 -6 4 0 0 4 00 1 0 and B =…

A: Find the elementary matrix E such that EB = AIt means E=AB-1So we need to find inverse of B .to find…

Q: d values for x and y that will make the matrices equal. x=_______          y=________ [x+y      1…

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Q: Write the differential equation and then determine whether you have overdamped,critically damped,or…

A: Introduction: The differential equation of motion of an unforced damped harmonic oscillation is…

Q: Find the value of x so that the matrix is not invertible. 1. 3 2 0 [ 1 2 1 If answer is in decimal,…

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Q: 2 3 -1 Consider the matrix A = 1 1 2|. Find the inverse of A, if -1 0 1 possible.

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Q: 1000 0 0 1 0 is 0 0 0 1 The inverse of the matrix A = 0100

A: We have to find out the inverse of given matrix

Q: Find the inverse of the matrix A, if it exists. 5 -2 6 A = 5 -1 2 10 -3 8 A. O B. A-1 does not…

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Q: of the following Is the fundamental solution matrix for the coefficient i ? 1

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Q: Let A be the matrix 4 2 7 6 Find p(A). p(x) = x – 2x + 4 i i p(A) =

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