Determine eat by first finding a fundamental matrix X(t) for x' = Ax and then using the formula et = X(t)X(0)¯¹. 1 1 25 1 A = First, find X(t). Choose the correct answer below. O A. X(t) = - 4t 5e 4t - 4t e6t 5e6t 6t

Q: Find an invertible matrix P and a diagonal matrix D such that P¯¹AP=D. 2 -4 -10 A = 0 -7 -24 - 02 7…

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Q: Find the matrix of T(x, y, z) = (3x, -6y) relative to the standard bases. T = Use this matrix to…

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Q: A = minor cofactor 80 6 -9 6 3 009 M32= A32 = || 7

A: we have to find minor and cofactor

Q: Find det A using the method of cofactors and the sign matrix. 2 2 6 A = 0-8 6 - 2 0 1 det A =…

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Q: Find the inverse of the matrix B= B-1 = bsin (a) f dr 7 = 4 1 -2 3 3 -3 -2 -3 3 00 € Ω Use B-1 to…

A: To find the inverse of the matrix By using  to solve .

Q: Let A = -5 6 -2 3 -11 14 and define T: R² → R² by T(7) = Az. Find T 5. Find 7 ([^;])-4-[-'₁). = A.

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Q: Let A be the matrix 2 6 3 7 Find p(A). p(x) = x' – 2x + 4 i i p(A) = i

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Q: Let the matrices and Find each of the following: Ay = and Bx = -4 27 A-441 -4 5 = 2t - [24] X = and…

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Q: -3 3 {BG)-A 0 3 b. Find the change of coordinate matrix from B to E. 1. Let B = -8 and x = 2 3

A: Introduction: To find the change of basis matrix we have to express the vectors of one basis into…

Q: 5. Let A = algebra.) 1 -2 -1 [23] AR-2 and AB = -2 -1 6 -9 3 Find B. (Hint: Find A and use matrix

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Q: [101] Find the inverse of the matrix C = 0 1 1 using cofactors. Show all your work. L2 1 4]

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Q: Find vectors x and y with ||x, = 1 and ym 1 such that ||A||₁||Ax|, and A||- ||Aym' where A is the…

A: Given, The matrix  A=4-1-230-3102 We have to find the vectors x and y with xs = 1  and ym = 1 such…

Q: a b ii. Consider the matrix B Find the characteristic polynomial of B 0 d and substitute in B like…

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Q: 0 1 1 1 0 3 and B = 100 1 20 0 (a) Solve the following equation for X: BAXA - B (b) You should have…

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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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