Let A = P = [-38 -36 108 4 2 -12. Find an invertible matrix P and a diagonal matrix D such that D = P¯¹AP. -12 -12 34 D =

Q: Compute the adjugate of the following matrix: 5 60 adj 4 -7 -5 -10 -4 -6 000 000 000

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Q: 5. (a) Consider T = LA: R³ - where A is the matrix A = R¹, T(x) = Ax 1 0 0 0 1 0 000 000 (In the…

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Q: t matrix B= 5-21 4-2 what is The 2. 3. 1-12 -12 reduced Yow echelon form of 6 B.

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Q: Find matrix such that 5 3 -1] X+ 2 -3 1

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Q: 1 1 0 k- 4 -k + 5 is not diagonalizable over C. k (Enter your answers as a comma separated list.)

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Q: Find 2 × 2 matrices A and B such that т 6 ]A+[, -1 JA+I 5 -5 ]B = [ 4 -6. ] and -2 -1 4 0 -2 -4 3 -4…

A: Given: The equations  06-1-1A+5-534B=4-60-2T0-211A+-4-8-3-6B=3-47-3T

Q: 13.) Determine the matrix: s P 6-8 3 ។ -3 the dimension X 10

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Q: -1 2 4 Find the 1-norm of the matrix 3 -2 0 1 -1 2.

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Q: Find a 2 x 2 matrix such that 3 -2 -2 = 61

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Q: Find matrix X:   3.     6     5     4     -2   *X=     18     49     -20     6

A: The detailed solution is given below Thank you

Q: -5 4] -5 2 1 ||

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Q: Write down the (1,2) minor of the matrix 1 -1 3 -1 1 01 45

A: Given A=1-11-101345

Q: Compute the adjugate -10 6 4 adj -7 9 10 8 -1 7 = of the following matrix: 000 000 000

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Q: Q5) Check whether the following matrix is diagonalizable or not. 7 -3 A = -9 -2 3 18 -8,

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Q: Is the matrix A invertible -1 2 3 -6 O True O False

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Q: Find a non-zero 2 x 2 matrix such that -5-2 6 15 -[88]- =

A: We have to find a non zero matrix such that the given rfelation satisfies.

Q: Let I be the 2 x 2 identity matrix. What is det (-41)?

A: The given data is:  I be the 2×2 identity matrix  To find det-4I Given:  I be the 2×2 I=1001

Q: Find a non-zero 2 x 2 matrix such that -7 1 35 -5

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Q: Find a 2 x 2 matrix such that -5 6 +988-0 1 -3 = [1 1

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Q: erations are required to form the product AB? Please explain clearly.

A: Solution is attached below.

Q: Find a 2 x 2 matrix such that -3 21 5 4 - 6 ปี

A: To find a  matrix such that

Q: Suppose that A and B are mxn matrices and C is an mxm matrix. Give an expression for entij (ABT+3C).

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Q: Find matrix D such that D=2A+B-C

A: Given

Q: the acdjainbaf square of As of 2.

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Q: a) Find the matrix of T corresponding to the ordered bases B and D. Suppose T: M22 P3 is a linear…

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Q: Find a non-zero 2 x 2 matrix such that -6 -8 30 40

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Q: For this exercise assume that the matrices are all n xn. The statement in this exercise is an…

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Q: Let p and q be nonnegative integers and let A be a square matrix. Show that Ap Aq = Ap+q and (Ap ) q…

A: We have, p and q be non-negative integers and let A be a square matrix. Consider ApAq. Since p and q…

Q: -93 225 90 -30 72 30 Find an invertible matrix P -20 50 17 and a diagonal matrix D such that D =…

A: The matrix is: A=-9322590-307230-205017. We have to find an invertible matrix P and a diagonal…