Moving to another question will save this response. Question 3 Find a matrix P such that 1 0 1 0 3 2 0 2 -1 0 P = 3 1 [1 0 P = OB. 3 -1 1 -3 OcP 0 1 OD -3 1 1 3 P = OE. 0 1

Q: l8h Will save this response Question 7 Let A be a nonsingular matrix. If det(A) =3, then det(A1) =…

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Q: Question 2 a) Find the upper triangular matrix that satisfies |1 30 A' b) Let and 6 = 1 q 0 1 a =| P…

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Q: Question 21 Siven the matrix below, find AB. -1 21 A =| 5 -2 [7 0 and B = 0 4 3 Choose your answer…

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Q: find an elementary matrix E that satisfies the given equation E C =A

A: EC = A ECC-1 = AC-1 Hence, E = AC-1

Q: Question2 Find the Rank and Nullity of the matrix -1 20 4 5 3 -7 2 1 4 A= 2 -5 2 4 6. 1 4 -9 2 -4 -4…

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Q: One of the following is not an elementary matrix 100 a) 010 b) 0 60 00 1 00 1 [100 00 1 c) 01 2 d)…

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Q: Question 5: Let 1 A = 1 15 -2 (5a) Find a 3 × 3 matrix P and a diagonal matrix 0 A2 0 13 D = || such…

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Q: Question 1 Find an LU factorization of the matrix A 3 5 5 20 6 31 A = -2 -1 -1 4 -1 7 1 7 1. 1.

A: Find an LU factorization of the matrix A

Q: QUESTION 12 Find a matrix P such that 1 0 23 0 3 1 -1 O A. P 0 1 1 1 O B. P = 1 0 O C.P 1 0 OD.P -1…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Consider the matrices 3/2 4. 1 2 -2 4 4. 1 -2 3. C = 4. 1 2 A = B = -2 1/2 7

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Q: QUESTION 9 Find the values of a, b, c, and d in the matrix equation below. a b 2 1)T 2 3 -2 4 5 -4 a…

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Q: -1 2 аnd AB 5 1. Find the matrix B. 3 Let A = 6 -9

A: This is a problem of matrix multiplication. Based on the general formula we will solve the question.

Q: One of the following is not an elementary matrix 100 100 a) 0 0 1 b) 0-50 020 0 0 1 104 00 1 010 d)…

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Q: Question 14 Let B = {b1, b2} and C = {C1, c2} be two bases for R, where [1 41 2 [1] C2 = 8 b1 3 b2 >…

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Q: Question 3 Consider the matrix 1 1 3 A = 1 2 4 1 4 Use Cramer's rule to find, if possible, the…

A: We use cramers rule

Q: Question 5 Suppose that A is an n x n matrix that satisfies the condition A² - 2A + I = 0. Use this…

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Q: Question 2. Write the 4 × 4 matrix of entries [a] with aj %3D i+2j

A: To Find: 4×4 matrix of entries aij with aij=ii+2j. Concept:…

Q: Question 3] Consider the matrix Г1 1 A= |1 2 4 3 1 1 4 Use Cramer's rule to find, if possible, the…

A: Use Cramer's rule

Q: -9 -8 | 10 3 5 -9 +A = 7 -6 5 -4 -3 0 3 9 -8 6 0 0 0 A = |0 0 0 0 0 0

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Q: -1 When diagonalizing the matrix A we get A = PDP-1 1 -2 Then P =? and D =? 1 2 -1 P and D 0 2 -2 1…

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Q: Question 1 Determine the dimension of Null A and Col A for the matrix [-3 6 -1 1 -7] -2 2 3 -1 -4 5…

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Q: Are there values of r and s for which [ 1 0 r- 2 0 s- 4 r+2 | 3 has rank 1 or 2? If so, find those…

A: Let's find.

Q: Question 2. Is the matrix P orthogonal, where (V3/2 0 -1/2) | a) P = -1 YES NO o V3/2, 1 :) 2. b) P…

A: As a matrix P is orthogonal if and only if PPT = I = PTP

Q: Question 3 p-1 1 0 1 0 P= Find a matrix such that -1 0 P = OA. OBP 3 -1 OcP = 0 1 1 0 P = OD. [13 0…

A: Option (A)  is correct.

Q: -(b) -1 A = B = 0 1 01

A: Result : Matrix multiplication is only possible for those matrices in which column of the first…

Q: QUESTION 8 Which of the following matrices are in echelon form? O1 23 4 001 2 01O1 O[1011 0 0 0 0…

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Q: Question 13 Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix…

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Q: Question 12 Find the value of z in the equation matrix. M. + 2% a. 1/2 C. -1/2 b. 1/4 d.-1/4 O D O A…

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Q: Question 2: (a) Show that for 2 × 2 matrices A &B the following equation holds. det(A + B)? = [det(A…

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: Which one of the following is not a diagonal matrix? .a 0 0 3 0 2 0 1 0 0 .b -5 0 0 5 0 0 0 5 .C -1…

A: A matrix is a diagonal matrix if it has non zero entries only at the principal diagonal while all…

Q: One of the following is not an elementary matrix 100 100 a) 010 b) 060 00 1 001 100 001 c) 012 d)…

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Q: Question 16 Not yet answered Marked out of 6.00 P Flag question 7 6 5 al2 a13 a14] -4 5 4 3. is the…

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Q: Find the inverse of the matrix (if it exists). (Round your answers to four decimal places. If an…

A: Given that, the matrix is A=0.20-0.40.9-10.710-0.3. It is known that, the formula for the inverse of…

Q: QUESTION 5 Drow the digraph represented by the adjacency matrix 0. 1 00 0. 0. 0 0 0 0 0 0 0 0 0 0 0…

A: A digraph is a set of vertices and a collection of directed edges that each connects an ordered pair…

Q: Question 14 Let B = {b1, b2} and C = {c1, c2} be two bases for R, where [1 2. b1 b2 3 > C1 13 C2 =…

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Q: QUESTION 3 Consider the matrix E. (13 10 6' E = 10 %3D 6. 15 14 |E| = |E| : %3D

A: The given matrix is,E = 13106105615145

Q: [이 F(0) = da -2

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Q: [1 2 4] [1 2 41 A = 2 1 3 and B = |2 1 3 li 0 2. l2 2 6] Find the elementary matrix, E such that EA…

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Q: Question 3 Let A be a 2 X 2 symmetric matrix satisfying A 9. and A 1 with the spectral decomposition…

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Q: Question 7 Consider the matrix 5 1 1 A = 14 2 1 2 4 (a) or Positive definite? (Justify your…

A: A=511142124 To show that  the matrix A is invertible. To determine weather A is symmetric ,…

Q: Let A = L} ? - 1 0 B = 1, and C = [-1 1]. %3D -2 3 0. Then 2BC + AT = %3D 1 3 -4] -2 -2 -1 1 O the…

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Q: QUESTION 13 For which values oft is the following matrix not invertible? t 2 0 e t-2 3 e 1 t o t-0,…

A: Given: A=t200t-2301t we know that any given square matrix will not invertible, if determinant of…

Q: One of the following is not an elementary matrix 100 100 a) 00 1 b) 0 -5 0 020 0 0 1 104 001 c) 010…

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Q: 3 -1 6) If X = is a matrix of order 2x1, given that A= [1 2 B = C = find the matrix X such that AX…

A: Given A=3-112, B=31, C=1-2 and X=pq

Q: Question 4 Consider the matrix A = 10 3 1 0 Express A in the form A = EFGHR, where E, F, G and H are…

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Q: QUESTION 2 Which of the following matrices is not an elementary matrix? 1 (D) 0 1 0. (A) (B) (C) 2 0…

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Q: QUESTION6 Which of the following matrix is in Reduced Echelon form? 2009 o0108 0 037 13 3 3 0100…

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Q: Give the value(s) of a for which the columns in the matrix 8. -4 4 A = -4 +а 5 -6 4 -6 10 + a are…

A: We will find out the required values.