Question 8 & 9 are related to the following two matrices [1+. A = B = Question 8 trace of AB = A. 1+i В. 1 + 21 C. 2i D. 2 Е. 4. Question 9 det (AB) = A. 8 В. -8 C. 81 D. -8i E. 41

Q: If A and B are two n x n invertible matrices, then one of the following is always correct a) (AB)T =…

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Q: Question 3 Let 1 -2 22 -11 1 1 A =0 -1 and P = 0 1 0 -1 1 0 0 P diagonalizes A , then compute the…

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Q: I. Find the single matrix equal to the following: [0.3 0.1 0 03 [7001 1. A = 2. A = [0.7 [10001 lo.1…

A: Note: According to the guidelines only three parts will be answered please upload other parts…

Q: If A and B are two n x n invertible matrices, then one of the following is always correct a) (AB)T =…

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Q: If A and B are two n x n invertible matrices, then one of the following is always correct а) (АB)T —…

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Q: find an elementary matrix E that satisfies the given equation EA = B

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Q: PROBLEM 4: Let A and B be 4x4 matrices with det(A)=5 and det(B)=-2. Compute det(3A?BA").

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Q: 4. Use the following matrices and find an elementary matrix E that satisfies the stated equation 13…

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Q: Question 28) Determine whether the given matrix is elementary. (a) (b) (c) (d) 외 1 0 -5 1 -5 1 10 1…

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Q: Solve the following matrix equation for X. 1 -1 0 X =| 4 0 -3 0 2 -1 5 7 8 2 3 0 2 3 5 5 -7 21 i

A: Given : Matrix equation 1-1123002-1X = 2-157840-30135-721   To find : Matrix X?

Q: If C and D are two n x n invertible matrices, then one of the following is always correct a) (DC)¬l…

A: Use property of matrix

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: If A and B are n x n matrices and if det(A) , det(B) 2, then det (-3A-1B) is (A) (-1)"2"-215 (B)…

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Q: If a 3 by 3 matrix has det A = -1 , find det(½A) and det(-A) and det(A2) and det (A-1 ).

A: Properties of Determinant →i detcA=cn.detA    where n is the order of square matrix .ii det…

Q: Question 10 of 10 9. -1 Matrix A =5 -7 3 4 0. What is entry ag31? 1 O A. 6 О в. з O C. -1 O D. 5

A: Definition of Matrix :   A m × n matrix is a rectangular array of numbers having m rows and n…

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: consider the following matrices with given dimension А: 3 х 4 B: 3 х 4 С: 4 х 2 D: 4 x 2 E: 4 x 3…

A: we have to find order

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 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 # 7: Find an LU factorization of the following matrices с. 2 -6 6. 5 -7 5 -1 -4 3 -6 4 -8 8…

A: Given: 2-66-45-735-1-64-88-39

Q: Question # 7: Find an LU factorization of the following matrices с. 2 -6 6. 5 -7 5 -1 4 - -4 3 -6 8…

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Q: Q1) Answer the following a) If a 7 × 5 Matrix A has rank 2, find dim(Null A), dim (Row A) and rank…

A: (a) Given that A is a 7×5 matrix of rank 2. To find: The dimension of Null A and dimension of Row A.…

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: 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 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 # 7: Find an LU factorization of the following matrices а. 1 4 -1 7 -2 1 -4 6 -1 3 -2 -3 -1…

A: (As per bartleby guideline for more than one question asked only one will be solved, Please upload…

Q: Problem 2. Suppose that A is an n x n matrix and det(A) = 2, det(A + I) = 3, and det(A+ 21) = 5.…

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Q: Question # 7: Find an LU factorization of the following matrices b. 2 -4 4 -2 6 -9 7 7 -3 1 -4 8.

A: To Determine :- 2-44-26-97-3-1-480 Find LU decomposition.

Q: QUESTION 8 Which of the following matrices are in echelon form? 1234 0 01 2 0101

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: If a 4 by 4 matrix has det A = ½, find det(2A) and det(-A) and det(A2) and det(A-1 ).

A: Now,

Q: 4) The matrices à = T AT-1 and B=TB is given by 1 1 0 à = -1 1 B : 1 1 1 -2 1 2. 1 1 1 -1 0 1 -2 0 0…

A: Option C is true.

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: 1 3 2 6. 4 7. Find AB + AC, if A = [5 6, B = -- and C = 2 3 - 3 5 2 5 4 1 40 А. 48 D. 7 B. [48 7 51]…

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Q: [5] Find the inverse of the following 4x4 matrix , where k1 , k2 ,k3, k4 are all non zero [k 0 0 0'…

A: Given Matrix:                           A=k0001k0001k0001k   To determine:…

Q: Suppose that A is a 3 x 3 matrix. For each of the question (a)-(d), find the elementary matrix E…

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Q: Question 16 Let A and B be 4 x 4 matrices, with det A = 5 and det B = -2. Compute det(AT BA) and…

A: Sol Correct option:-last Explanation:-

Q: Question # 7: Find an LU factorization of the following matrices а. 1 4 -1 7 -2 1 6. 3 -2 -3 -4 -1…

A: Given: 14-1537-29-2-31-4-16-17

Q: If A & B are 2 x 2 non-singular matrices, where A 2 3 7 4 . Calculate det (B)? 3 2 , AB = 1 2 OA. 4…

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Q: If A, B are 3 x 3 matrices such that det(AB)-1)% = det(adj(A)) = 25. Then det(3A". (B)-') 20 and O…

A: We are given that A and B are 3x3 matrices. We are also given that detAB-1=120 and detadj(A)=25.…

Q: Question 2 Which of the following is TRUE about the matrices below: 1 2 -1 A =0 0 1 0. 0 0. 10 1 0 4…

A: We want to find matrix which are in row-echelon form

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: If A is 3 x 3 matrix with det (A) = 3, find det (3 O a. 33 O b. 1 О с. 32 O d. 3

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Q: Question 18 If A and B are n x n matrices and rank( A) = rank( B) = n, then O A. rank(AB) = 2n OB.…

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Q: In questions 14-15, suppose that A, B, C, D, and E are matrices with the fol- lowing sizes: A B C (4…

A: GIVEN THAT  A,B,C,D, and E are matrices with the following sizes:.      A            B…

Q: 3. If A and B are two matrices of size 4 x 4 such that Det(A) = -3 and Det(B) = }, then Det(24)-(4B…

A: (3).  Given: A is 4×4 matrix.Det(A)=-3Det(B)=32

Q: Question 3 Given that B,C, D and X are n x n invertible matrices, solve for X XC(DB+BXC+CX)-l = B-1

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Q: Which of the following matrices is in Reduced Row Echelon Form? [1 0 0 000 Lo 0 0 1] O The above one…

A: Check each of the given matrix and answer that it is reduced row Echelon form

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: 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: Question 2 Find the inverse of the following matrix using the Gauss-Jordan elimination method. 8 -7…

A: To find The inverse of the given matrix using Gauss Jordam elimination method