Find a basis for the column space of -2 4 4 A = 3 3 4 -2 -16 -8

Q: Find the matrix of the quadratic form 2x,² + 3x2² – x3² – 4x1x2 +2 x1X3 + 6x2X3

A: The symmetric matrix for quadratic form ax12+bx22+cx32+dx1x2+ex2x3+fx1x3 can be written as…

Q: calculate the matrix cofactor using sign convetion  + - + - - + - + + - + - - + - +

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Q: Carry out the row operation on the matrix. -8 -45 R2 on 7 175

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Q: MAtrix of 2,5,3,4

A: Here is the solution:

Q: Let 13 −4 21. 1 -4 -1 Using a sequence of elementary row operations, transform A into reduced row…

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Q: 1 0 0 0 0 1 2 -6 2 -8 10 1 0 1 0 3 -2 -5 -16 |

A: We have to multiply: 1000012-60010003-22-8-5-16

Q: -1 2 4 Find the 1-norm of the matrix 3 -2 0 1 -1 2.

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Q: Orthogonally diagonalize A Tu 4 4 0 0 9

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Q: Compute the third row of the product (if it exists) by summing an appropriate linear combination of…

A: To Find : Third row of the Product of given matrices.

Q: Express column 6 as a linear combination of columns 2, 4, and 5. 012002 4= = 2 6 7 000 106 000017…

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Q: Compute A³, A-3, and A² - 2A + I. 4 0 [69 2 NOTE: Write the elements of each matrix exactly. A =

A: NOTE: Refresh your page if you can't see any equations. . the given matrix is

Q: Determine the row rank of the matrix 145 2 8 10 3 64 Possible Answers: 3 0 1 2

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Q: Part A) Compute the matrix-vector product Ax using the row-vector rule. Part B) Write the…

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Q: Find the LU factorization of -3 A = -15 -6 such that the main diagonal of \left[ -4 3 -21 16 -10 10…

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Q: -4 -4 -16] A = 16 -18 -56 -4 6 -51 That is, write A = LDU where L is a lower triangular matrix with…

A: We can make some row transformations to find the upper triangular matrix prime U', then from this,…

Q: If A= 1-3 -3 and AB= 15 14 -8 4 - 13 determine the first and second columns of B. Let b₁ be column 1…

A: The multiplication of two matrices A and B is defined only when the number of columns in A and the…

Q: Give bases for row(A), col(A), and null(A). 4= [1 2-4 201 -1 21 32 1-2 3 3 3 row(A) col(A) null(A)…

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Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.