Use a software program or a graphing utility with matrix capabilities to write v as a linear combination of u1, U2, U3, U4, and u5. Then verify your solution. v = (6, 7, 9, –4, 3) u1 = (1, 1, –1, 2, 1) u2 = (2, 1, 2, -1, 1) Из %3D (1, 2, 0, 1, 2) U4 = (0, 2, 0, 1, –4) Ug = (1, 1, 2, -1, 2) Ju; + (| V = u2 + Juz + Ju4 + Jus

Q: Determine whether the matrix is elementary. If it is, state the elementary row operation used to…

A: A square matrix of order n is elementary matrix if it is obtained from the identity matrix In by a…

Q: Find an LU factorization of the matrix A (with Lunit lower triangular). 4. A = -4 -3 L U

A: We have to find L and U matrix.

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: Given that,  v=3,6,6,-3,1u1=1,1,-1,2,1u2=2,1,2,-1,1u3=1,2,0,1,2u4=0,2,0,1,-4u5=1,1,2,-1,2 Find the…

Q: Use a graphing utility or computer software program with matrix capabilities to write v as a linear…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

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Q: Use a graphing utility or computer software program with matrix capabilities to write v as a linear…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: We have to write v as linear combination of u1, u2, u3, u4,…

Q: Find the diagonal line matrix P 7 -5 0 4 -1 A = 2 8 -3

A: Given the given matrix is A=57-504-128-3

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: We will find out the required solution.

Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Calculate the rank of each matrix by converting it into canonical form…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: Maxima program used to solve:

Q: Find an LU-factorization of the matrix.

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Q: Use a graphing utility or computer software program with matrix capabilities to write v as a linear…

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Q: Find an orthogonal matrix whose first row is (1/3,2/3,2/3)

A: The rows of an orthogonal matrix forms an orthonormal basis. Therefore, consider the extended basis,

Q: Determine the coefficient matrix A, the right-hand side vector b, and the augmented matrix, A of the…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: We will find out the required value.

Q: Find an LU-factorization of the matrix: show solutions. 1 1 a. 1 ⠀⠀ 2 2 2 3 2 5 b. 6 14

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Q: Calculate the rank of each matrix by converting it into canonical form…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Use a graphing utility or computer software program with matrix capabilities to write v as a linear…

A: u1 = (2, 2, -2, -4, 4, 1)u2 = (2, -2, 4, -1, 3, 4)u3 = (4, 3, -2, -1, -1, 2)u4 = (2, 1, -1, 3, 4,…

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: We have to write the vector v=3, 6, 6, -3, 1 as the linear combination of the vectors u1, u2, u3, u4…

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: write v=7,5,-11,14,6 as a linear combination of u1, u2 , u3, u4, u5 where…

Q: uz < and u4 at the points P1, P2, P3, and P4, respectively, are given by u2 + u4 + 100+100 4 200 +…

A: A system of equations can be written in the matrix form AX=B, where A is the coefficient matrix, X…

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: Suppose v can be written as a linear combination of u1,u2,u3,u4,u5 as: v=c1v1+c2v2+c3v3+c4v4+c5v5…

Q: Use a software program or a graphing utility with matrix capabilities to find JA, |A|, 141, 12A1,…

A: Given that: 461-1-253641-5-22213

Q: Either diagonalize the matrix -2 0 1 B = 4 2 -3 -4 0 2 or show that B is not diagonalizable.

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Q: Use the definition of Ax to write the vector equation as a matrix equation. - 6 8 - 1 - 9 5 3 X1 - 2…

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Q: Use a graphing utility or computer software program with matrix capabilities to write v as a linear…

A: I am solving this by using matrix calculator/computer software program.

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: Given : V = (6, 6, -10, 14, 6)

Q: Construct a 4x4 matrix to rotate 60° about the z-axis and rotate 30° about the x-axis and then…

A: Here we need to find out the 4x4 matrix to rotate 60 degrees to z axis and 30 degrees to x axis also…

Q: Put as many 1's as possible in a 4 by 7 echelon matrix U whose pivot columns are(a) 2, 4, 5…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: We an solve it by using matrix.

Q: A is a 3 x 3 matrix with two pivot positions.

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Q: Find the LU factorization of the matrix A, where 3 -5 2 -2 A = -1 -6 1 -4 1 2 1 2. 2.

A: Given matrix is A=−23−5232−22−1−61−1−4121. We have to find the LU-factorization of the matrix A. By…

Q: Find the inverse matrix for the matrix of coefficients of thie system below. Then, use It to find…

A: Consider the provide question,

Q: Use a graphing utility or computer software program with matrix capabilities to write v as a linear…

A: I am using Matrix calculator to solve this problem.

Q: Use a graphing utility or computer software program with matrix capabilities to write v as a linear…

A: I am solving it in step 2

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

A: Linear combination: When we write two or more vectors in the form ax1+bx2+cx3+…+sxn, where a, b, c,…

Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Use a software program or a graphing utility with matrix capabilities to write v as a linear…

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Q: Write the third column of the matrix as a linear combination of the first two columns, if possible.…

A: Given: 123799456 we have to solve: a174+b285=369 Now: a+2b=3  ..........17a+8b=6 ..........24a+5b=9…

Q: How many pivot columns must a 7 x 5 matrix have if its columns are linearly independent? Why?

A: Consider A be the matrix of dimension 7×5. If the columns of A are linearly independent, then the…