If x2-x x-1 x-2 2x2-3x-1 3x 3x-3 x2-2x-3 2x-1 2x-1 - Ax-B then

The correct option is A A and B are independent of xGiven, x^2+x amp; x+1 amp;x 2 #160;2x^2+3x 1 amp;3x #160; amp; 3x 3 #160; ...

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Properties of Determinants

If x2+x x+...

Question

If $∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} + x & x + 1 & x - 2 2 x^{2} + 3 x - 1 & 3 x & 3 x - 3 x^{2} + 2 x + 3 & 2 x - 1 & 2 x - 1 \end{matrix} ∣ ∣ ∣ ∣ ∣$ = Ax+B then

A and B are independent of x

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A and B are dependent of x

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A dependent on x but B does not depend on x

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B depends on x but A does not depend on x

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Solution

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Similar questions

∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} + x & x + 1 & x - 2 2 x^{2} + 3 x - 1 & 3 x & 3 x - 3 x^{2} + 2 x + 3 & 2 x - 1 & 2 x - 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ = x A + B

A

B

3

x

∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} + x & x + 1 & x - 2 2 x^{2} + 3 x - 1 & 3 x & 3 x - 3 x^{2} + 2 x + 3 & 2 x - 1 & 2 x - 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ = a x - 12

a

∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} + x & x + 1 & x - 2 {2 x}^{2} + 3 x - 1 & 3 x & 3 x - 3 x^{2} + 2 x + 3 & 2 x - 1 & 2 x - 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ = a x - 12,

a^{2}

∣ ∣ ∣ ∣ ∣ \begin{matrix} x^{2} + x & x + 1 & x + 2 x^{2} + 3 x - 1 & 3 x & 3 x - 3 x^{2} + 2 x + 3 & 2 x - 1 & 2 x - 1 \end{matrix} ∣ ∣ ∣ ∣ ∣ = A x + B

A

B

3

A + 2 B

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