3. Given C = 311 131 1 13 a.) Find an orthogonal matrix P that diagonalizes C (i.e, P-¹CP is diagonal, and P-¹ = pt) b.) Find C10

Q: 8. so that detA =25, trace-10, and à-5 is repeated. Q24. Complete the matrix A = [8 - 3] SO a) 3 2…

A: Sorry to say that, According to our guideline we can answer only first question other can be…

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Q: Given the following bases for P2, find P,the change of coordinates matrix from B to C. C+B B = {-2x²…

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Q: 2. Consider the matrix: Then: A = [1 2 -3 01 1 4 a) det (M23) = b) A21 = 23

A: A=12-3012143

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Q: det (–3(A" A-²)*) Consider matrix A of order 3, the value of corresponds to: 1 a) –7 - 1 b) –3 c) –3…

A: For the solution of the problem follow the next step.

Q: .

A: A=02-123-2-1-20 To find: An orthogonal matrix U that diagonalizes .

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A: We have to find the eigen value of the given matrix.

Q: Find a QR factorization of the matrix A. [-6-12] 17) A = 17) A 3 36 0-12 18) A- 01 1 10 -1-11

A: We have to find the QR factorization of the matrix

Q: Find the product AC of the matrices A and C below: Show your work. [1 1 1] A = 3 5 4 L3 6 5 c=1/323…

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Q: Which of the following matrices is a nilpotent matrix of degree 2. a a) where ab =-x². -x a where ab…

A: We have to select the nilpotent matrices of order 2 from the above list.

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Q: Find a non-zero, 2×2 matrix such that: 더 버 고 대 4 - [ ] =

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Q: 3 3 12. Given matrix A = -5 3 3 A) Determine the diagonalization B) Find another diagonalization of…

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Q: Let B1 = {T1,t2, t 3} and C, = {w1, w2, w3} be two bases for R³ such that । = - , के = - े;, के; =…

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Q: 3. a) A = 26 i) Find the QDQT factorization of A

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Q: 3. Diagonalize the following matrix. Use this diagonalization to compute A¹⁰ 1 А A = [¹₁2] 2.

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Q: Let A and C be n×n matrices such that ​CA=I​ (the n×n identity​ matrix). Show that Ax​=0 has only…

A: Here, CA=I, where I is the identity matrix.

Q: Find the matrix to the lirear trastur wution 4-347 With respect to bajes T= 200

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Q: Determine a matrix H such that H¹MH is diagonal or Jordan: (2 0 1 0 0201 0020 000 2, M₂1

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Q: 2 Be A, a square matrix i. Given that A holds = 44 + 5I . Prove that A is reversible, and express A-…

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Q: {[2].[4]} {[]} be bases for R². a) Find the change-of-coordinates matrix from B to C b) Find the…

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Q: 6. Prove that the matrix A = -1 2 is diagonalizable, and find the corresponding diagonal matrix D…

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Q: Let A= P = N -8 16] -8 14 8 Find an orthogonal matrix P with rational entries and a diagonal matrix…

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Q: b. Let B = {T1, đ2, đ3}, C = {71, 72, T3}, be two orthogonal bases for R³. Show that the…

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Q: 2. a c) Find all the matrices A = [] with real entries such that A² = [ 2] detail work. Show your

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Q: For a square matrix A, AAT = ATA. %3D A) True False

A: We have to find the given statement is true or false.

Q: Find the matrix P that diagonalizes A D= 4 Ex: 5 P 5 2 -1 2 = -12² and the resulting diagonal matrix…

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Q: Find a 3 x 3 matrix A such that Aa = 9x for all a in R³

A: We have to find matrix A such that Ax = 9x