Question

If above determinant is equal to
$(a + bx)(x - a)^{2} |$
Then find the value of a and b.

Answer 1

Hope it helps you...........

Answer 2

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∆ Heya Mate ∆

• Matrices and Determinants •

✓✓ For ease of calculation, we utilize the fact that it is Symmetrical Matrix ✓✓
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Hence,
$det \: = (x - 4)( {(x - 4)}^{2} - {4x}^{2} ) \\ \\ = > det \: = (x - 4)( - 3{x}^{2} - 8x + 16) \\ = > det = (x - 4)(4 - 3x)(x + 4)$

✓✓ Assuming that the question asks :
$det = (a + bx)( {x}^{2} - {a}^{2} )$

• We compare both Results, utilizing :
$(x + y)(x - y) = ( {x}^{2} - {y}^{2} )$
for [ x , 4 ] to get :
$a = 4 \: \: || \: b = - 3$
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Hope this helps ^_^

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