Which matrix is of the reduced echelon form? Oa. (1 2 04 0 0 2 7 Ob. 1 2 5 0 13-7 10 1 0 0 0 01 0 Od. (1 0 2 0 1 0 0 0 0

Q: Decompose the given matrix as indicated: [25 5 0 0 141 0 0 4 1 U12 13 10 8 16 = 1 12 22 (31 (2 1 0.

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Q: For which values of x and y the following matrix is skew-symmetric? [0 3x+y A=30 9 6 x -1 O A. x=6,…

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Q: The following matrix is in row echelon fórm Select one: 0 0 0 a. 010 246 b. 03 5 0 0 4 C. d. REDNAL…

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Q: find an oxohogonal or unitary dragonalizing or matrix cach The to lloweng bor 2 (a) (b) 3 -i 4 o 0 2

A: Solve the above question.

Q: Find a matrix B such that AB = I, where 4 1 1 0 A = and I = -4 4 1 a b Hint: Let B c d B =

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Q: find DA and AD, if possible, where D = D,(3,0, 2, – 1) and A is the given %3D matrix. 21 1 31 0 1+i…

A: Given:  D=Dg3,0,2,−1=302−1, and A=2i013i01+i80−i10i1111 To find DA and AD if possible.

Q: Use the given information to find A. A-1 [$3 4 5 5 12 NOTE: Write the elements of the matrix…

A: Topic = Matrix

Q: Find a matrix B such that AB = I, where 6 1 A = 1 0 0 1 and I = -6 6 a b Hint: Let B =c d

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Q: Given the matrix 2 2 2 A = 0 2 3 7 7 1 Find the |A| by transforming the matrix A to the triangular…

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Q: Give the value(s) of a for which the columns in the matrix 9 6 -6+a A= 6 12 -6 -6+a -6 are linearly…

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Q: [d, 0 D =|0 d2 0 , and vector i = d3]

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Q: Given matrix​ A, find the minor M12.   A= −2 −1 0 4 3 1 1 4 6

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Q: Which of the following is the LU-factorization of the matrix a) 1 b) 0 1 1 c) d)

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Q: 7 Find the matrix P that diagonalizes A = 6 and the resulting diagonal matrix D. -3 -2 4 D P = Ex: 5

A: The given matrix is: A=76-3-2

Q: Use A-1 =(1/detA)adj A to compute the in­verse of the coefficient matrix x + y - z = 1      x+y+z=2…

A: The coefficient matrix is, Now,

Q: 1. A = -1 1. 4 2 . 2. 2.

A: on solving this we get the

Q: which of the following Matrices is reduce row echelon form [1 0 31 1 1 o] [1 0 31 B = 0 A = 0 [1 0…

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Q: For which values of x and y the following matrix is skew-symmetric? 0 3 6 A =-3 0 x+y x 9 0 OA. X-6,…

A: Correct option (C) x=-6 y=-3

Q: Find the specified change-of-coordinates matrix. Let B= {b1, b2) and C= {c, c2) be bases for R?,…

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Q: Use A-1 =(1/detA)adj A to compute the in­verse of the coefficient matrix x + y = 1   x-y=2

A: x+y=1 x-y=2 We need to find the inverse using A-1 =(1/detA)adj A

Q: which of the following Matrices is reduce row echelon form [1_0 3] A = 0 1 1 Lo o ol [1 0 3] B = 0 1…

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Q: Which of the following is the reduced row echelon form of the given matrix? 1 a b. a. A %3D a. b. b.…

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Q: [0] Let A = : 1.B = : J.c = 6 1. and V = [1 2 31 l4 5 6 „B = lò ol.c = 6 1, and v = |1. What is the…

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Q: Given a square matrix 3 x 3 such that 2AA' = A' and Det(A) + 0, find Det(4). %3D

A: Let the square matrix of 3×3 is A s.t

Q: M = .N = .P = E are given. If MX = NX – P ,then find the matrix X. %3D

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Q: Find a matrix B such that AB = I, where [ ] 8 1 1 0 A = and I = -8 8 0 1 1 a b Hint: Let B = %3D c d…

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Q: Q1: Find a matrix P that diagonalizes A , and check your work by computing P-'AP ; [2 0 -2 1) 4 = %…

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Q: Find an invertible matrix P and a diagonal matrix D such that PAP-D. -6-3 9 A = 5 2 -5 -3 -3 6 3x3…

A: For this problem, first we will find out the eigenvalues of A and corresponding eigenvectors. Then…

Q: If A is a 2x2 matrix such that trace(A) = det(A) = 3, then what is the %3D value of trace of (A-!) ?…

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Q: Find an elementary matrix E that satisfies the stated equations. 8. 1 5 8 5 8. 1 5 B = 2 -7 D -6 21…

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Q: Given matrix A = ( 2 −1 3 5 ) , and that h(T) = T 2 − 2T − 7, find h(T)

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Q: (4) Given matrix A = and that h(T) = T² – 2T – 7, find h(T). 5

A: i have answered this question in step 2.

Q: Let A be a 4 x 4 matrix with det (A) = 1. What is det(2A)? a) 1 b) 2 c) 4 d) 8 e) 16

A: By using determinant property, we calculate the required result.

Q: Find the elementary matrix E such that E A B where | 7 A = -15 -1 and B = 16 16 9. -15

A: The solution is given as

Q: W D 15) Which is the transpose of the matrix? [o -1 31 4 -2 5 A" =? 0 7 A: %3D O [3 -1 37 4. 1 7 4…

A: To obtain the transpose of a matrix, we need to convert the rows into columns and vice versa.

Q: f A and B are 6 × 3 matrices, and C is a 7 x 6 matrix, which of the following DA. BC В. А + С C. CB…

A: All the parts are solved below.

Q: d. Find D, a diagonal matrix A is similar to. Find C such that CAC = D. e.

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Q: if A is (m*n) matrix, prove 'rank(AB) < max(rank(A), rank(B))' only A: (m*n), B : (n*k)

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Q: Find the matrix A given that (I, + 2.4) ! = 1 2 4 5 O a. -1/13 5/13 2 -1 O . 1 4/13 -2/13 13 1/13…

A: From the given problem:   I2+2A-1=-1245.....(1)   Let, A=abcd   Now multiplying by I2+2A in both…

Q: -1 Find the matrix P that diagonalizes A = -2 and the resulting diagonal matrix D. 3 -1 D = P = Ex:…

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Q: OIn each part below, find the matrix A, by use of the given information: 27 (3AT)= [1 %3D 3 4 [1 2…

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Q: Find the matrix A such that 1 0 A = -1 -2 9. 7 11 a b Hint: Let A = c d A =

A: If two matrix are equal then all elements of matrices are equal. In this question first we find…

Q: Use the reduce echelon form "triangle upper matrix" to find the det(A), where A = 2 -8 6 8 3 -9 5 10…

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Q: For given symmetric matrix A, find a diagonal matrix D that is congruent to A.

A: Given :      Symmetric matrix A   To find:           A diagonal matrix D that is congruent to A.

Q: Given matrix A = (2 /3 |−1/5) and that h(T) = T2 − 2T − 7, find h(T).

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Q: Given the matrix A and an echelon form of A. Find the dimension of Nul A. 3 -5 -1 3 -11 5 -7 -7 9.…

A: We have to check

Q: Suppose A is a 5 by 5 matrix with det(A) = 6 What is det(AT A)? Answer:

A: Given det(A) = 6

Q: Let B = {b1, b2} and C = {c1, c2} be two bases for R, where %3D bị b2 C1 = C2 = 8 b1 what is the…

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Q: a b A = | d f e k compute Aē1, Ae2, and Aē3. (b. If B is an n × 3 matrix with columns ī1, v2, and…

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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.