Evaluate the determinants- beginbmatrix 2 - 4 1-5 -1end bmatrix

Let A=[ 2 amp;4; 5 amp; 1 ], it is a square matrix. ∴ |A|=2×( 1) ( 5)×4= 2+20=18 ...

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Standard XII

Mathematics

Square Matrix

Evaluate the ...

Question

Evaluate the determinants.

$[\begin{matrix} 2 & 4 - 5 & - 1 \end{matrix}]$

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Solution

$L e t A = [\begin{matrix} 2 & 4 - 5 & - 1 \end{matrix}]$ , it is a square matrix.
$∴ | A | = 2 \times (- 1) - (- 5) \times 4 = - 2 + 20 = 18$

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Evaluate the determinants. [24−5−1]

LetA=[24−5−1], it is a square matrix. ∴ |A|=2×(−1)−(−5)×4=−2+20=18

Evaluate the determinants.

$[\begin{matrix} 2 & 4 - 5 & - 1 \end{matrix}]$

$L e t A = [\begin{matrix} 2 & 4 - 5 & - 1 \end{matrix}]$ , it is a square matrix.
$∴ | A | = 2 \times (- 1) - (- 5) \times 4 = - 2 + 20 = 18$