Alice has the following two vectors and matrix: A = -2 -3 21/2 21/2 2 y = 6-1/2 61/2 31/2 3-1/2

Q: Let A and B be the following matrices. Perform the following operations: A. B B. A = A = 3-8-5 3-7-2…

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Q: Express each column vector of BB as a linear combination of the column vectors C₁, C₂, and c3 of B.…

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Q: A = 15-6 14 53 2, b= 22 12 9 -6

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Q: Let A =  -2 1     0 3     and    B =  2 -3     1 −2. Find a matrix X satisfying the matrix…

A: The given matrices, A=-2103 and B=2-31-2 We have to find the matrix X, that satisfies 2A+X=3B

Q: Write the vector (2, –3) as a linear combination of (2, –1), (–1,2) Select one: O 2/5(2, –1) +…

A: We need to find the linear combination of the given vector. NOTE - all the options given are wrong.…

Q: Consider the following matrix and vector: 1 0 A= -2 1-4 and x=₂ 0-3 6 Given that Ax-0 and x-1, find…

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Q: Calculate BA where A and B are the following non-square matrices: 1 3 1 0 3 A = B = 2 %3D 2 1 5 2

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Q: Let A be a 4×5 matrix with 4 pivots. Do the columns of A span R4? Do they span R5? Justify your…

A: As A is a 4 x 5 matrix with 4 pivots so, it has a pivot in its every row. So, yes the columns of A…

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: 5 0 0 0 A = 1 4 -3 -1 -2 0 -3

A: A IS DIAGONALIZABLE.

Q: a. Write the vector (23,-12, -19) as a linear combination of a₁ = (3, -2, -1), a2 (2, -3, -1) and ã3…

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Q: Let. A=[3,2,1;4,2,3;-2,1,-3] Convert the matrix unit using elementary operations

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Q: Let y = 1 2 and u= 4 2 Write y as the sum of a vector in Span (u) and a vector orthogonal to u.…

A: Introduction: The projection of a vector onto another vector is the application of dot product. This…

Q: Find the inverse of a 2x2 matrix B  B=[5−32−6]

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Q: Calculate the area of the parallelogram determined by the points (-1 , -1), (2 , 4), (4 , 3) and (7…

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Q: Find the inverse of the matrix:                    3 3 4                    2 3 2…

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Q: Consider the matrix A Calculate A¹00 if = (-5,-4,5). 1 6 2 -1 0

A: Introduction: The power of a matrix is very significant in matrix calculations. It involves the…

Q: Solve A x A T matrix: A = -2  1  -1 3   -3   2

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Q: Find two non zero matrices A and B such that AB = 0. %3|

A: Find the two matrix which satisfy the given condition

Q: Fill in each matrix for diagonalization of the matrix A = A = PDP-1 3 Ex: 5 30 1 4 -6 19 1 1 IG

A: We have to fill in each matrix for diagonalisable of the matrix.

Q: = [2 1 3 -1 -1 -1 2

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Q: a) Write the augmented matrix for the row chelon form of the matrix. x + 2y3z = 9 2xy +z = 0 . b)…

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Q: Calculate the inverse of the matrix [132] A 3 6 0 2 6 6

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Q: 1 3 Find a QR factorization of the matrix A = 1 4 0 2

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