Given A and B, compute AB, BA, BTAT, and ATBT. (If the answer does not exist, enter DNE in any cell of the matrix.) |-•-[- AB = BA = BTAT = ATBT: = A = -8 1 2 9 7-1 11 ↓1 11 10-7 -7 2

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: find the elelment in the 3rd row and 1st column of the matrix cofactor 7 2 5 3 1 4 1 2 1

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Q: Solve the matrix equation for X: 1 -1 2 - 14 -2 0 X 4 0 1 5 -1 3 i i X = i i

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Q: Determine whether the matrix -1 -1 -4 A -8 -3 -16 1 7 is diagonalizable. If A is diagonalizable,…

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Q: Express the quadratic form (c₁r1 + c₂2+...+Cnn)² in the matrix notation TA, where A is symmetric.

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Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

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Q: If A and B are similar, then there exists a matrix P such that B = PAP. Use this fact to fi -2 2 -3…

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Q: Let A be an n xn matrix andB=A+1, where / is the identity matrix, then it is possible for A and B to…

A: False

Q: a. a⋅ If R = 11 and C= 1-5 -3 | find the inverse of C and -31 4 hence solue the matrix equation R.CS

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Q: An identity matrix is represented by... . а. Нн-1 O b. HH-H C. H-H

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A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: Decide whether the matrix -7 1 4 A = -12 1 8 -10 1 7, is diagonalizable over R. If it is,…

A: -714-1218-1017

Q: [a b] [add] c A² − (a + d)A + (ad – bc)I = 0 Show that the matrix A = satisfies the equation

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Q: 6 -1 Evaluate ABT – 3C given that (2 -2 lo -1 2. -2 A = 6 -3 ‚B = and C = -12 7. 3. Use matrix…

A: To solve the given matrix problems.

Q: Find all matrices B that commute with 1 + i (¹+1) :). 0 A = That is, for which AB = BA.

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A: Given A=2-34-1235-1-2   C=214

Q: Given A and B, compute AB, BA, BTAT, and ATBT. (If the answer does not exist, enter DNE in any cell…

A: Given that  We find AB, BA, BTAT  ATBT.

Q: Find matrices P, D and P-1 that diagonalize matrix A, where A = P = D= P-1 20 0 -11 -2 -3 -30 -1

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Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

Q: 2. Find a real 2 × 2 matrix A (other than A =I) such that Aº = I . %3D

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Q: -2 -1 -2 Let M 2 -2 -3 Find c1, c2, and c3 such that -1 3 -1 M³ + c,M² + c2 M + c3I3 = 0, where I3…

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Q: 3.) Find the inverse matrix? 2 Use the adjugate of A = 0 -2 1 to find A-1 | 1 0 0 - 2 3.

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Q: An identity matrix is represented by... О а. Нн-1 O b. H-1H О с. Нн-1н

A: If we multiply a matrix by its inverse we get the identity matrix.

Q: 1. Perform the indicated operations of matrices. Given: 1 = [2²2 A -2 1 11 4 1 3 31 Note: A² = A.A 0…

A: According to the Bartleby guidelines when student post multiple subpart question then expert must…

Q: real matrix which is not diagonal. If (A + I)² = 0,

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Q: Let M = -3 2 -3-2 M³ + c₁M² + c₂M + c3I3 = 0, where I3 is the identity 3 x 3 matrix. C1 || S || C3…

A: Here the matrix is given by M=-11-3-3232-32 Here the equation is given by M3+c1M2+c2M+c3…