find the rank of matrix
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The maximum number of linearly independent vectors in a matrix is equal to the number of non-zero rows in its row echelon matrix. Therefore, to find the rank of a matrix, we simply transform the matrix to its row echelon form and count the number of non-zero rows.
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Answer:
RANK OF A MATRIX IS 2
Step-by-step explanation:
2 1 -1 =R1
0 3 -2 =R2
2 4 -3 =R3 (R3-R1)
R3-R1 THEN
2 1 -1
0 3 -2
0 3 -2 (R3-R2)
R3-R2 THEN
2 1 -1
0 3 -2
0 0 0
SO THE RANK OF MATRIX IS 2
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