Determine the product - -4 4 4- -7 1 3- 5 -3 -1 - - 1 -1 1- 1 -2 -2- 2 1 3 -

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Byju's Answer

Standard XII

Mathematics

Adjoint of a Matrix

Determine the...

Question

Determine the product $⎡ ⎢ ⎣ \begin{matrix} - 4 & 4 & 4 - 7 & 1 & 3 5 & - 3 & - 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 1 1 & - 2 & - 2 2 & 1 & 3 \end{matrix} ⎤ ⎥ ⎦$ .

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Solution

$⎡ ⎢ ⎣ \begin{matrix} - 4 & 4 & 4 - 7 & 1 & 3 5 & - 3 & - 1 \end{matrix} ⎤ ⎥ ⎦$ $⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 1 1 & - 2 & - 2 2 & 1 & 3 \end{matrix} ⎤ ⎥ ⎦$

$⎡ ⎢ ⎣ \begin{matrix} (- 4) .1 + 4.1 + 4.2 & (- 4) (- 1) + 4 (- 2) + 4.1 & (- 4) .1 + 4 (- 2) + 4.3 (- 7) .1 + 1.1 + 3.2 & (- 7) (- 1) + 1. (- 2) + 3.1 & (- 7) .1 + 1. (- 2) + 3.3 5.1 + (- 3) .1 + (- 1) .2 & 5 (- 1) + (- 3) (- 2) + (- 1) .1 & 5.1 + (- 3) (- 2) + (- 1) .3 \end{matrix} ⎤ ⎥ ⎦$

$⎡ ⎢ ⎣ \begin{matrix} 8 & 0 & 0 0 & 8 & 0 0 & 0 & 8 \end{matrix} ⎤ ⎥ ⎦$

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Similar questions

Q. Determine the product

⎡ ⎢ ⎣ \begin{matrix} - 4 & 4 & 4 - 7 & 1 & 3 5 & - 3 & - 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 1 1 & - 2 & - 2 2 & 1 & 3 \end{matrix} ⎤ ⎥ ⎦

and use it to solve the system of equations

x - y + z = 4, x - 2 y - 2 z = 9, 2 x + y + 3 z = 1

Q. Determine the product

⎡ ⎢ ⎣ \begin{matrix} - 4 & 4 & 4 - 7 & 1 & 3 5 & - 3 & - 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 1 1 & - 2 & - 2 2 & 1 & 3 \end{matrix} ⎤ ⎥ ⎦

and use it to solve the system of equations

x - y + z = 4, x - 2 y - 2 z = 9, 2 x + y + 3 z = 1

Determine the product $⎡ ⎢ ⎣ \begin{matrix} - 4 & 4 & 4 - 7 & 1 & 3 5 & - 3 & - 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 1 1 & - 2 & 2 2 & 1 & 3 \end{matrix} ⎤ ⎥ ⎦$ and use it to solve system of equations $x - y + z = 4, x - 2 y - 2 z = 9, 2 x + y + 3 z = 1$

Q. If

A = [\begin{matrix} 1 & 1 2 & 2 \end{matrix}]

B = [\begin{matrix} - 1 & 1 1 & - 1 \end{matrix}]

, then

d e t (A B) =

The product of all the factors of determinant

$∣ ∣ ∣ ∣ ∣ \begin{matrix} x & y & 1 x^{2} & y^{2} & 1 x^{3} & y^{3} & 1 \end{matrix} ∣ ∣ ∣ ∣ ∣$ is:

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Determine the product $⎡ ⎢ ⎣ \begin{matrix} - 4 & 4 & 4 - 7 & 1 & 3 5 & - 3 & - 1 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 1 & 1 1 & - 2 & - 2 2 & 1 & 3 \end{matrix} ⎤ ⎥ ⎦$ .