Question

Transform 2 1 3 into an upper triangular matrix by suitable column transformation​

Answer 1

Answer:

an upper triangular matrix elements below the diagonal are 0.

Here, A=⎡⎣⎢123−112234⎤⎦⎥

Applying R2→R2−2R1

=⎡⎣⎢103−1322−14⎤⎦⎥

Applying R3→R3−3R1

=⎡⎣⎢100−1352−1−2⎤⎦⎥

Applying R3→R3−53R2

=⎡⎣⎢⎢100−1302−1−13⎤⎦⎥⎥, which is the required upper triangular matrix.

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