Find the inverse of each of the following 4 x 4 matrices, where k₁, k₂, k3, k4, and k are all nonzero.k₁000 k₂000 k3 00 00k4.The inverse of the given matrix is(a)0000 0 00O00/1/0 0 0 000 0 0O0 0k₂000HE 0001140F1-00 0 00 00140O140-14O00140O0OHE (b)10 07k0 10000k 10001The inverse of the given matrix is0010-00k0000-1/0100 0 -10077-0Y0010 000100 - 10Tk00 0000-10 0107-10

(a). The given matrix is: A=k10000k20000k30000k4

Find the inverse of each of the following 4 x 4 matrices, where k₁, k₂, k3, k4, and k are all nonzero. (a) k₁ 0 0 0 0 k₂ 0 0 00 k3 0 000 k The inverse of the given matrix is O 1150 O C 140 0 0 0 0 00 0 k₁ O 0 0 01/2 0 00 0 0 O-14 0140 000 k₁ 077 140 0 0 1 0 0 01/1/1 0 0 10 O 0 120 077 0 0 02/11 4 0 00 01/0 0 0 0 0 0 0 0/

Find the inverse of each of the following 4 x 4 matrices, where k₁, k₂, k3, k4, and k are all nonzero. (a) k₁ 0 0 0 0 k₂ 0 0 00 k3 0 000 k The inverse of the given matrix is O 1150 O C 140 0 0 0 0 00 0 k₁ O 0 0 01/2 0 00 0 0 O-14 0140 000 k₁ 077 140 0 0 1 0 0 01/1/1 0 0 10 O 0 120 077 0 0 02/11 4 0 00 01/0 0 0 0 0 0 0 0/

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.4: Determinants

Problem 53PS

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Similar questions

Use elementary matrices to find the inverse of A=1a0010001100b1000110001000c, c0.
Let A,D, and P be nn matrices satisfying AP=PD. Assume that P is nonsingular and solve this for A. Must it be true that A=D?

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