Find the three values of k, k e R for which the matrix A below is not invertible, f (k) A = 1 1 where f(k) = k3 + 10 · k² – 25 · k – 249. Value 1: Value 2: Value 3:

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: 2. Assume that all the operations are properly defined, solve the following equation for the unknown…

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Q: Let A = [ 9-8 4-3 Find an invertible matrix X such that X-¹AX is diagonal.

A: Introduction: A matrix A of dimension n x n is called invertible if and only if there exists…

Q: a 6 8 A = a -4 6 4 -2

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Q: Rearrange the following matrices according to 7 4 3 2 9. 3 15 5 2 5 3 9 5 4 6 5 II II III II

A: Rearrange the following matrices according to decreasing value (top to bottom) of their determinant.…

Q: om: A is a matrix such that A2 + 5A 10. Show that A is invertible and A-1 = A + 51.

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Q: Find the size of the matrix 0.

A: Count the number of rows and columns

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: a- B-2 3] and Given matrices Find CAB 3

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Q: A-Find the value k which make the determinant of the given matrix 10 [k-2 equal to zero k + 3]

A: We need to evaluate the value of k which the determinant of the following matrix equal to zero…

Q: Find all real numbers a, b for which the matrix A nalizable in R. = ( 1] is diago-

A: We have to find all real numbers  for which the matrix  is diagonalizable in

Q: How would I write the following 2 functions in matrix notation? Q(h) = (h, 2h, 3h) F(x, y, z) =…

A: We have to write the function as matrix notation. The given function is Q(h) = (h, 2h, 3h) Clearly,…

Q: Let z be a real number and let A be the matrix 2 I A - (-34). -2 i. Find all values of r such that A…

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Q: For matrix A = (4 6 3 5 ). If f(x) = x2 - 5, calculate f(A)?

A: The given matrix is, A=4635. The function is f(x)=x2-5. For matrix multiplication: The number of…

Q: Q2.Find the rank of the matrix B. r1 -1 3- 4 B= 3 1 1 -1 1 1

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Q: Find the inverse of the matrix, if it exists. A = Cmatrix ((0 -1)(-3 6)) Select one: [-1 0 O B. -1…

A: To find inverse of the matrix.

Q: EXER 13.2 a b Assuming that for matrix G d e h [9 we have det G= -7. Then find the ff: a. det(3G) b.…

A: WE WILL APPLY THE PROPERTY OF DETERMINANT TO FIND ANSWERS.

Q: Find the matrix for T(~) = projów where v =[−4 −8 −6]ª.

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Q: Find the value of x if the matnx 1 5] 4 is Singular 2. A = -3 6. 2

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