Let A and B be matrices of the form: b, b, b 12 13 ba bz ba b, bz ba A= B= 43 a b4 b. ba Consider M(A) = BA (matrix multiplication). Is M(A) a linear transformation?

Q: Write B as a linear combination of the other matrices, if possible. (If not, enter DNE in all…

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Q: Find the LU factorization of -1 -5 -4 A = -5 -26 -18 That is, write A = LU where L is a lower…

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Q: Find a 2 by 2 matrix that reflects the point (x,y) abot the x axis?

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Q: Matrix M gives the manufacturer price for four models of dining room tables. Matrix P gives the…

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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: Find the LU factorization of A = A = 9- -4 E -4 That is, write A = LU where L is a lower triangular…

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Q: Find the matrix A if 3 1 4 A = 11 00

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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: 5. Describe to Mr. Dr. Prof. Meso how to input this matrix into mathway, and use mathway to reduce…

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Q: A= [2002], Now imagine you have a square (0,0), (1,0), (0,1) and (1,1). To what geometric object the…

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Q: 9. A = -2 2

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Q: iagonalize the following matrix: 21 4 1-4 31 -1 24001₁ 111-12 C - 0

A: A matrix is diagonalizable if A.m. of each eigen value = g.m. of corresponding eigen value

Q: 32x+y -1 526 -1 x+4y 10

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Q: Use elementary row operations to determine A-1 (you should be able to do (a) elementary row…

A: 1.a A=123-111201A=11-0-2-1-2+30-2     =1+6-6     =1determinant of A is not zero, therefore inverse…

Q: Matrix A shows the number of servings of each food that each person eats per day. Matrix B shows the…

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Q: Express A as a product of elementary matrices where 3 A = [2²4] 1 And express each elementary matrix…

A: Let us find the elementary matrices.

Q: 6 -1 Evaluate ABT – 3C given that (2 -2 lo -1 2. -2 A = 6 -3 ‚B = and C = -12 7. 3. Use matrix…

A: To solve the given matrix problems.

Q: Determine whether the following matrix is diagonalizable or not. If yes, diagonalize it; if not,…

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Q: Assume that T is a linear transformation. Find the standard matrix of T. T: R² R² first reflects…

A: Under the reflection (0,1) goes to (1,0) and (1,0) goes to (0,1)

Q: Find an LU-factorization of the matrix : 4 1 2 5 1 2. 3 - 7 6 14 16 11 1

A: Recall: LU factorization by using Gaussian Elimination method

Q: add new column [0;0;0] to the matrix a[12 3, 45 6 ,7 8 9]. * Your answer

A: We have to add column [0;0;0] to the matrix a[1 2 3;4 5 6;7 8 9]