GATE Electrical Engineering (EE) 2011 Solved Paper

Question : 36 of 65

Marks: +1, -0

The matrix

[A] = {[\table 2 , 1 ; \text" 4" , −1 ; ]}

is decomposed into a product of a lower triangular matrix [L] and an upper triangular matrix [U]. The properly decomposed [L] and [U] matrices respectively are

${[\table 1 , 0 ; \text" 4" , −1 ; ]}$ and ${[\table 1 , 1 ; \text" 0" , −2 ; ]}$
${[\table 2 , 0 ; \text" 4" , −1 ; ]}$ and ${[\table 1 , 1 ; \text" 0" , 1 ; ]}$
${[\table 1 , 0 ; \text" 4" , 1 ; ]}$ and ${[\table 2 , 1 ; \text" 0" , −1 ; ]}$
${[\table 2 , 0 ; \text" 4" , −3 ; ]}$ and ${[\table 1 , 0.5 ; \text" 0" , 1 ; ]}$

Validate

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