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If |[2x,5], [8,x]|=|[6,-2], [7, 3]| , th...

If `|[2x,5], [8,x]|=|[6,-2], [7, 3]|` , then `x=` (a) 3 (b) `+-3` (c) `+-6` (d) 6

A

`3`

B

`+-3`

C

`+-6`

D

`6`

Text Solution

AI Generated Solution

To solve the equation \( |[2x, 5], [8, x]| = |[6, -2], [7, 3]| \), we will compute the determinants on both sides and then solve for \( x \). ### Step 1: Compute the left-hand side determinant The left-hand side determinant is given by: \[ |[2x, 5], [8, x]| = 2x \cdot x - 5 \cdot 8 \] Calculating this gives: ...
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