Compute the inverse of the following unitary matrix : 2 1 +=i 5 5 250 0 —— 4 i 5 5 3 1 + 5 5 1 2 i - 2 1 -i 3 10 10 -i 1 3 ·+=i 5 5 1 —— ·+· 2 2 -+ 1 10 10 3 i -i 1 000 000 000

Q: Determine which of the following matrices are invertible. Try to perform as few computations as…

A: As per bartleby guidelines we only give first three question answers.

Q: 2. Consider the matrices 00 1 0 2 0 1 -2 2 -1 Where U is the reduced echelon form of A. A = 2 0 4 -1…

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Q: Determine if the following matrices are either nonsingular or singular. -1 1 1 1 -1 1 1 A = 2 5 -2 2…

A: “Since you have posted a question with multiple sub-parts, we will solve the first three subparts…

Q: * For the matrix A, find det A [2 -3 1 0 A 1²27 [1 4 5 det A = 49 O det A = 35 O det A = 40 O det A…

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Q: Suppose A, B and P are square matrices of the same size, P is invertible, and suppose that A = P BP…

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Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

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Q: Which of the following matrices are diagonalizable? Justify your claim. 5 -18 -32 a. M, = 0 5 4 2 -5…

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Q: 0 0 0 20 1 -1 -2 2 -1 7 Where U is the reduced echelon form of A. 2 0 1 A = 4 0 1 U= [1200 0010 3…

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Q: 0 0 t41 [25 5 10 8 16 =a21 1 4 U13 0 0 8 12 22 [A31 132 1 1.

A: LU decomposition of the matrix- Let  A=25541081681222 To write the matrix A in the form of  A=LU…

Q: Find Jordan-form representations of the following matrices: [i 4 101 1 Aj = 0 2 A2 1 0 0 -2 -4 0. 4…

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Q: Evaluate A/B from the given matrices below (show complete solution): 11 52 3 7 1 8 9 2 5 3 6 40 2 A…

A: SolutionAB=AB-115239718253614022714145702101605-1

Q: Compute the rank of the matrix 1 1 -1 -1 A = 2 3 t 1 3 3 O b. O c. O d. t - 2 -1 a. Rank A = 3 for…

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Q: 1 1 2] X =| 2 2 2 3 1 Calculate the inverse of the matrix 4 by using the result of Cayley Hamilton…

A: The solution is given below in the next step:

Q: 4- Determine the rank of the following matrices: 2 8] [3 4 5 [1 7 6 ii- A=1 2 3 5 3] [3 9 21 iii- A…

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Q: Suppose A, B, and C are invertible nxn matrices. Show that ABC is also invertible by introducing a…

A: and are invertible matrices.We have to show that  is also invertible by introducing a matrix  such…

Q: Match the two matrices A, B with their product AB. i Instructions 1 0 2 6 7 4 3 4 5 -3 9 0 6 1 [1 -2…

A: Match the two matrices A, B with their product AB.

Q: Compute the rank of the matrix 1 1 -1 -1 A = 2 3 2 3 tt-2 13 3 -1 O a. Rank A = 2 for all t O b.…

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Q: 1 2 C= 1 A = 1 -2 3 D = 1 1 1 -1 1 -1 -9 B = 1 1 1 1 2 -1 -1 4 1 find the matrix 2A – 3B + C. Do…

A: Given A = 11-2110B = 11-1111C = 1232-11D = 1-1-9-141

Q: Determine which of the following matrices are unitary: -i (= 【、第 i/2 -V3/2] 1 B = +i 1-i V3/2 -i/2]…

A: If we get AA-1=I it is unitary matrix.

Q: Find the inverse matrix for [b11 b12 b13 b14] b21 b22 b23 b24 b31 b32 b33 b34 [b41 b42 b43 b44] 1 5…

A: To find the inverse of the given matrix

Q: 1 2 3 1 2 3 4 5 6 7 8 9 1 2 1 2 A = B = C = D: 4 5 6 3 4 3 4 5 6

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Q: III. Evaluate the inverse matrix of the following: 1.) Using Adjoint Matrices [2 3 11 A3 4 1 L3 7 2]…

A: We have to find the inverse of the given matrices

Q: (d) Give a vector in Col(A) that is not in Col(U). Justify your answer.

A: As per the question we are the 4×5 matrix A and its reduced row echelon form UNow we have to…

Q: 3. Suppose that A is an n x n matrix. a. Suppose that A? = AA is invertible with inverse B. This…

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