Prove that- 2- 8 -5 -2 6- 14 -2 -4 6-

2 8 amp; 5 2 amp; 6 =2[8× 6 ( 5× 2)] =2[48 (10)] =2[48 10] =2× 38 =76 14 amp; 2 4 amp; 6 =14× ...

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Standard X

Mathematics

Column Matrix

Prove that: ...

Question

Prove that: $2 ∣ ∣ ∣ \begin{matrix} 8 & - 5 - 2 & 6 \end{matrix} ∣ ∣ ∣ = ∣ ∣ ∣ \begin{matrix} 14 & - 2 - 4 & 6 \end{matrix} ∣ ∣ ∣$

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Solution

$2 ∣ ∣ ∣ \begin{matrix} 8 & - 5 - 2 & 6 \end{matrix} ∣ ∣ ∣$
$= 2 [8 \times 6 - (- 5 \times - 2)]$
$= 2 [48 - (10)]$
$= 2 [48 - 10]$
$= 2 \times 38$
$= 76$
$∣ ∣ ∣ \begin{matrix} 14 & - 2 - 4 & 6 \end{matrix} ∣ ∣ ∣$
$= 14 \times 6 - (- 2 \times - 4)$
$= 84 - (8)$
$= 76$
Hence, proved.

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Prove that: 2∣∣∣8−5−26∣∣∣=∣∣∣14−2−46∣∣∣

2∣∣∣8−5−26∣∣∣=2[8×6−(−5×−2)]=2[48−(10)]=2[48−10]=2×38=76∣∣∣14−2−46∣∣∣=14×6−(−2×−4)=84−(8)=76Hence, proved.

Prove that: $2 ∣ ∣ ∣ \begin{matrix} 8 & - 5 - 2 & 6 \end{matrix} ∣ ∣ ∣ = ∣ ∣ ∣ \begin{matrix} 14 & - 2 - 4 & 6 \end{matrix} ∣ ∣ ∣$