Given the set of vectors: [12 -2 3 ||25 -4 6 ||-132 -2||24-1 6| Construct the matrix 12-2 3 25-4 6 -132-2 24-16 a) Choose the number of non-zero rows in the echelon form of A Choose. V b) Choose the maximum number of linearly independent row vectors of A Choose. V c) Choose the rank of the matrix A Choose. V

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Q: Determine the order of the matrix. 2 5 -4-4 6 1A) 3 × 2 B) 2 × 3 C) 6 D) 3

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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: s this matrix in row-echelon form or reduced row-echelon form

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Q: form the row operation R, and replace R, on the

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Q: 1 -2 3 -2 1 2 -4 -2 4. 4,

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Q: A = [2 -1 0 1; 3 5 7 -1; 1 4 2 7] List the row and column vectors of the matrix.

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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.