Question

Reduce the matrix A(given below) to normal form and hence find its rank 3 8 A 5 0 0 1 1​

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Question

Reduce the matrix A(given below) to normal form and hence find its rank. 5 3 80 1 10 1 1 note : the above is a 3x3 matrix ..

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Answer:The rank of the matrix is equal to the number of non-zero rows in the matrix after reducing it to the echelon formGiven matrixA= ⎣⎢⎢⎡ 111 111 111 ⎦⎥⎥⎤ R 2 →R 2 −R 1 A= ⎣⎢⎢⎡ 101 101 101 ⎦⎥⎥⎤ R 3 →R 3 −R 1 A= ⎣⎢⎢⎡ 100 100 100 ⎦⎥⎥⎤ Hence the non-zero row in the above matrix is 1.Therefore , rank is 1.

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