Let y = 3 6 and u = 6 Write y as the sum of two orthogonal vectors, one in Span {u} and one orthogonal to u. y=ŷ+z=+ (Type an integer or simplified fraction for each matrix element. List the terms in the same order as they appear in the original list.)

Q: e. Determine whether the rows of A are linearly independent. f. Let the columns of A be denoted by…

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Q: 2. Use the chain rule to compute df/d.x of the following functions and provide the di- mensions of…

A: We have to Use the chain rule to compute df/dx of the functions and provide the di mensions of every…

Q: Perform the matrix operations.

A: Consider as

Q: Evaluate the double integral that will find the volume of a solid bounded by = = 1-2y²-3r² and the…

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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: Use row operations to change the matrix to reduced form. [::] 111 13 45 8 26 111 13 458 26

A: Given augmented matrix is 1111345826. We have to reduce the matrix  1111345826 into row reduced…

Q: , and c

A: Given quadratic form is, Here, A is symmetric matrix as,

Q: 6 -2 0 1 4 1 0 4 4 3 -1 -1 2 0 5 A 5 ||

A: The solution is given as

Q: on f(x) = [x6] sin (x8 ) usi

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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: evaluate the matrix

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Q: Write down the quadratic form that corresponds to the following 4 -1 -3 -3 1 324

A: The given matrix is, A=3242-1-34-31. The quadratic form of the matrix A is Q(x)=xTAx, where…

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

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Q: Use the

A: we have; 3x1-2x2+4x3=213x1+4x2-2x3=92x1-x2-x3=10

Q: 2 -3 -2 2 -4 4 10 2

A: Number of columns in first matrix are 3 and number of rows in second matrix is 1. So, matrix…

Q: Write the 2X2 matrix associated to a reflection about the x axis.

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Q: Find the transpose of the matrix.

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Q: -3 7 -5 F = -1 12 -29 -1

A: F=-37-54-112-29-1 The minor of an element aij is the determinant obtained by deleting ith row and…

Q: 1 2 6 41 2 3 2 5 6 2 3 0

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Q: Type the correct answer In each box. -5 5 10 -20 0 a = b: and d%=

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Q: Consider the matrix product: 2 3. -3 -1 -2 1 H = -2 -1 1 -3 2 -1 0 %3D 0 2 -1 -1 1 2

A: