Let km:R2 R2 be linear maps and M (k)= 21 N 32 linear map km (the composition of linear maps) is and M (m) = 14 01 3 points be the matrices associated with k and m respectively. Then the matrix assoiated with

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A: Here we will find matrix of linear transformation

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Q: Show that any two rows of a matrix can be interchanged by elementary row transformations of the…

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Q: Let B To which point do the linear maps associated with A and B map the points (1, – 9) and (4, 4)?…

A: we know  Tx=Ax Given,  A=1038B=-40-12

Q: Express the linear function as F(x) = CX for some matrix C. f(x1,x2,x3,x4) = (5x3 - x1, 2x3 + x4,…

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Q: Let U be an n × n non singular matrix with non zero diagonal entries. Explain why U must be non…

A: Consider the provided question, Let U be an n x n non-singular matrix with non-zero diagonal…

Q: Find an orthogonal diagonalization for A = 1 0 1 0 1 -1 (1888) -1 1 i.e. find an orthogonal matrix U…

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Q: If A=XDX−1 where  X is a diagonalizing matrix of A, then 7X is also a diagonalizing matrix of A.…

A: Given: Where, X is a diagonal matrix of A, then 7X is also diagonalizing matrix of A. To determine:…

Q: 6. Find the distance between the matrices A and B, p(A, B), using the ||- ||2 for the matrix -[:] -1…

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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: [121] In other words, write A = SDS-¹ = SDSt where D is a diagonal matrix and S is an isome- try.…

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Q: Find the general form of the span of the indicated matrices. (Use only x and w as variables in your…

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Q: Let y=[1,6] and u=[5,7] write y as the sum of two orthogonal vectors , one in span {u} and one…

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Q: Identify a matrix P that diagonalizes 2 6 A = a. 1 P = - 2 Ob. P = -1 0 0 2 Oc. P = 01 1 2 O d. -2 P…

A: Solution

Q: Let B = {b1,b2} and C = {c1, C2} be R². Produce the change-of-coordinate matrix from B to C and from…

A: The change of basis matrix form B to C (or from the basis B to the basis C ) and C to B where B and…

Q: Determine all the n × n− matrix A with the range such that A2 = A.

A: Clearly the zero matrix and identity matrix are the trivial examples of our problems. However there…

Q: Construct a 4×3 matrix A and vectors ~b and ~c in R4 so that ~b is in the range ofthe linear…

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Q: 5 3 [B] -5 -6 i.e. write A = LU where L is a lower triangular matrix with 1's on the diagonal, and U…

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Q: Consider the elementary matrix 1 0 -- a 2 1 Describe the action of this matrix from the left in…

A: Here →A=(1,2),→B=(0,1) The vectors A, B are linearly dependent if their determinant is zero. i.e.…

Q: Notations That Represent A Line

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Q: Find the standard matrix for the linear transformation T. T(x, Y, z) = (x+ z, x - y, z -y)

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Q: Let A and B be n × n matrices and assume that columns of B are linearly dependent. Show that columns…

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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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Q: Let -1 1 A = -1 1 -1 -3 3 Find an upper triangular matrix which is orthogonally similar to A.

A: An upper triangular matrix is a triangular matrix with all elements equal to below the main…

Q: 10. Techbabble.com makes plasma relays, chroniton scanners, and pulse sequencers. Each relay…

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