Q6) Find the modal matrix P that diagonalizes the matrix (7 0 0' 0 2 0 3 A = 3 2.

Q: det a det C

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Q: -2 6. What is the diagonal matrix Find an orthogonal matrix Q that diagonalizes A = 6. A?

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Q: [-5 -5 [-3] 1. For the matrix A 2 -3 determine (and explain why) if vector ú 3 is | 4 2 3 2 a. in…

A: GIVEN A=-5-5002-3423 to determine if vector u→=-332

Q: Let A = Diagonalise this matrix. That is, find a diagonal matrix D and an invertible matrix Q such…

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Q: 2) does the following matrix is orthonormal and orthogonal? Why? R = 2

A: Orthogonal and orthonormal matrix

Q: 17- Let A be 5 x 5 matrix and det(4) = 2. What is the value of der(24)? a) 128 b) 32 16 64 LEave…

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Q: A) Justify if the matrix A is diagonalizable.B) Find a matrix T and a diagonal matrix J, such that…

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Q: Let y = a. UTU= UUT 8 4 = II a. Let U be the 2 x 1 matrix whose only column is u₁. Compute UTU and…

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Q: Suppose that Q is an orthogonal matrix, then OaQ-8 ObQ-2 d 1Q-0

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Q: Given the matrix A 1 2. 2 -1 -1 1-2 -1 2809 %3D 290 command B=tril(A,-1)+eye(4). The third row of…

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Q: 3 – i -2+i 1 a) P = Ye= -2+i b) P = Yes No -i 0

A: Unitary matrice.

Q: snip

A: The determinant of an orthogonal matrix is always one. Therefore to prove that the given matrix,…

Q: 1 A = )Find the rank of a matrix 7 17 1 - 2 | 3.

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Q: -(¹-21) e matrix B x A? and B = (8) What is the entry on the row 2 and column

A: We have to find the 2nd row and 1st column of the matrix BA

Q: 1 31 A = 2 7 . A·B = B · A = I3×3 -2 -4 -5. ]

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Q: Which one of the following equations is true for nxn matrices A, B, and C? (Assume all matrices…

A: For the given matrices A, B, and C. We have to choose the correct option.

Q: 2)} and 0 4 A = 2 3 . be the matrix for T: R2 → R? relative to (a) Find the transition matrix P

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

Q: s elect the matrix correspon ding to the form QLX,, Xz, Xx, Xu ) = - 2x1²+ 5 X; - 7×3 -4 Xú - 6Xi Xz…

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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: 7) Find the determinant of the following matrices: -51 6. 1 5 b) 8 2 8. -31 -3 7

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Q: 1 -4-2) s) Let A := -2 3 2 4 -8-5 (a) Show that A is diagonalizable and find a nonsingular P such…

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Q: 1 -1 2 a) Find the matrix A if (3A) =0 2 0 3 -1 4

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Q: 1 8 Which of the entries in the matrix 2 -3 -7 9 A) 4 B) 1 Ⓒ-3 (D) -6 -61 4 has-37 as its cofactor?…

A: We have to find correct option by finding element whose cofactor is -37

Q: 1. Consider the matrix and and Monde Cole 2022 202) Mesh Colleg 202C) Mona that 1 1 0 101 0 1 1 Mo…

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Q: Find the change-of-coordinates matrix from B to the standard basis in R". 2 -2 3 8 -2 7 8. Pa

A: Uf7ygth

Q: 3. Find m and n so that the matrix below is symmetric:

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Q: Q2) Find x for the following matrix 3 1 x| a) -1 3 4= -30 1 ol 1 |1 2 1| b) 12 x 2=0 13 6 xl

A: We need to solve the determinant and find the value of x.  Now, if we have a 3×3 matrix…