Using properties of determinants,prove that ∣∣∣∣a2+2a2a+112a+1

1.	Using properties of determinants,prove that ∣∣∣∣a2+2a2a+112a+1a+21331∣∣∣∣=(a−1)3. OR find matrix A such that ⎛⎜⎝2−110−34⎞⎟⎠A=⎛⎜⎝−1−81−2922⎞⎟⎠.
Answer» Using properties of determinants,prove that $∣ ∣∣ ∣ \begin{matrix} a^{2} + 2 a & 2 a + 1 & 1 2 a + 1 & a + 2 & 1 3 & 3 & 1 \end{matrix} ∣ ∣∣ ∣ = (a - 1)^{3}$ . OR find matrix A such that $⎛ ⎜ ⎝ \begin{matrix} 2 & - 1 1 & 0 - 3 & 4 \end{matrix} ⎞ ⎟ ⎠ A = ⎛ ⎜ ⎝ \begin{matrix} - 1 & - 8 1 & - 2 9 & 22 \end{matrix} ⎞ ⎟ ⎠ .$

Using properties of determinants,prove that ∣∣∣∣a2+2a2a+112a+1a+21331∣∣∣∣=(a−1)3. OR find matrix A such that ⎛⎜⎝2−110−34⎞⎟⎠A=⎛⎜⎝−1−81−2922⎞⎟⎠.

Answer»

Using properties of determinants,prove that $∣ ∣∣ ∣ \begin{matrix} a^{2} + 2 a & 2 a + 1 & 1 2 a + 1 & a + 2 & 1 3 & 3 & 1 \end{matrix} ∣ ∣∣ ∣ = (a - 1)^{3}$ .

OR find matrix A such that $⎛ ⎜ ⎝ \begin{matrix} 2 & - 1 1 & 0 - 3 & 4 \end{matrix} ⎞ ⎟ ⎠ A = ⎛ ⎜ ⎝ \begin{matrix} - 1 & - 8 1 & - 2 9 & 22 \end{matrix} ⎞ ⎟ ⎠ .$

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Using properties of determinants,prove that ∣∣∣∣a2+2a2a+112a+1a+21331∣∣∣∣=(a−1)3. OR find matrix A such that ⎛⎜⎝2−110−34⎞⎟⎠A=⎛⎜⎝−1−81−2922⎞⎟⎠.

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