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RREF

If you need to row reduce matrix; just use & calculator and write

and then the resulting matrix:

Let A bet the following matrix: ~7 15 ~7 12 A = -13 30 -15 33

Find basis for the row space of A. Find basis for the column space of A: Find basis for the null space of A. Find rank( A): Find nullity( A)

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07:50

Given the matrix A and its reduced row echelon form rref(A), find the basis of the null space null(A), the basis of the column space of col(A), the basis of the row space of row(A), the dimensions of null(A), col(A), and row(A), and find the rank(A).

04:41

Finding a Basis for a Row Space and Rank In Exercises $5-12$, find (a) a basis for the row space and(b) the rank of the matrix.$$\left[\begin{array}{rrr}2 & -3 & 1 \\5 & 10 & 6 \\8 & -7 & 5\end{array}\right]$$

01:27

Find the rank and a basis for the row space and for the column space, Hint. Row-reduce the matrix and its transpose (You may on it obvious factors from the vectors of these bases.)$$\left[\begin{array}{rr}1 & -2 \\0 & 0 \\-3 & 6\end{array}\right]$$

03:34

Finding a Basis for a Row Space and Rank In Exercises $5-12$, find (a) a basis for the row space and(b) the rank of the matrix.$$\left[\begin{array}{rrrrr}4 & 0 & 2 & 3 & 1 \\2 & -1 & 2 & 0 & 1 \\5 & 2 & 2 & 1 & -1 \\4 & 0 & 2 & 2 & 1 \\2 & -2 & 0 & 0 & 1\end{array}\right]$$

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