Suppose matrices A and B are row equivalent and the elementary row operations 2R₁ R₁, 3R₁+R₂R₁, R₂↔R transform matrix A into matrix B. If det (B) = 18, then what is the value of det (A)?

Q: Let A be a 5 x 5 matrix with det(A) = -10. 1. If the matrix B is obtained from A by adding 4 times…

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Q: c1x1(a) + c2x2(a)+ . . . +cnxn(a) = x(a). Let X (t) be the n x n matrix with column vectors x1, x2,…

A: Given : Xt be any  matrix of n×n           : c be column with component c1 ,c2 , . . .  . . .  ,cn…

Q: Let A = 2 1 54 Write 5A. Is det(5A) equal to 5det(A)? 5A= (Type an integer or decimal for each…

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Q: If A is 4x4 matrix with det(A)=10, find det (24-¹A), det (A²).

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Q: If A is a 3x3 matrix and det(A) = 7, what is det(2A)?

A: Solution :-  Given : A is a 3×3 matrix               And det(A) =7

Q: Q2. For the matrix, A = (a) Find 2 Tr (2 A). (b) If A = 21 8 7 4 6 7 5 4 find (A)-².

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Q: c. Find an orthogonal diagonalization of the symmetric matrix 1 -2 0 A = -2 1 4

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Q: If Y and Y are the first and last column vectors in the inverse of a [1 -1 2] matrix A = 0 3 2 then…

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Q: R={(2,1),(3,1),(3,2)} as a zero to one matrix

A: Given R = R=2,1,3,13,2  we have to write it as a zero-one matrix  A= 0001001103×3

Q: compute the indicated matrices A + 2D

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Q: SKIP The 4 x 4 matrix A satisfies the matrix equation A = 3A". Find all possible values for det A.…

A: We will use the following properties : (1) det(AT) = det(A) (2) det(AB) = det(A) det(B) (3) det(c•A)…

Q: Suppose that B is a square matrix with det(B) = -2. Find each of the following. (a) det(B6) = (b)…

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Q: 3. Let A, B € Mnxn (F) be n x n matrices. (a) Prove that tr(A + B) = tr(A) + tr(B). (b) Prove that…

A: Trace of matrices is sum of its  diagonal entries

Q: Let A = (a) and B = (A + B)(A + B) (b) A2 + 2AB + B² 3) Let A2 and B2 denote the matrix products AA…

A: A=5423B=8759

Q: Find the range of a (2 × 3) matrix B with rank(B) = 2

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Q: 2 -1 3 1 0 0 1 A = -1 2 no

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Q: Suppose we are given A E Mmxn(C). How do the singular values of A relate to those of its adjoint, A*…

A: Please check step 2 for the solution.!

Q: Determine the real number values of the constant a with which the matrix A= (14 a1)  is positive…

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Q: Write down the 4×4 3D matrix to move by(xm,ym,zm).

A: A 4 by 4 Matrix 3D matrix used for the purpose of representing the given vectors is called…

Q: Let matrix A = 1 1 1 3 2 1 −2 3 1 (a)Find two distinct row echelon forms of A. (b) Find the…

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Q: For the two 3 x 3 matrices A and B with det(A) = -3 and det(B) = 2, Select one: O True O False det…

A: Given :mx+3y-z=m    2x+z=1              -2x-3y+mz=0  detA=-3detB=2

Q: 1 6. Given that A = -1 and B = Which of these matrices equal (AB)'? -2 0 (c) 0. (a) 0. (b) (d) -2 -2…

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Q: 2x1 - 2х2 + 4хз (d) 3x1 – 3x2 + 6x3 5х2 + 2хз -3 -4 9

A: Given information: The given system of linear equation is  2x1-2x2+4x3=-33x1-3x2+6x3=-45x2+2x3=9.…

Q: Let A, B be 4 x 4 matrices. Find two matrices so that rank(A) = rank(B) = 2 and rank(AB) = 1. A = B…

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Q: If matrix [A] is a 5x5 matrix and a matrix [Z] is obtained by the row operations of replacing Rowl…

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Q: IA - (34) and B- (-5 8 -2 (a) (AB) (b) BTAT 10. f -5 find

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Q: Explain why det (BPB¯¹) = det(P) for any matrices P and B. Assume both sides of the equation are…

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