Compute the indicated product- beginbmatrix 1 -2 W2 - 311lend bmatrix -egin bmatrix 1 - 2 - 3112 - 3 - 1 Wlendbmatrix

[ 1 amp; 2; 2 amp; 3; ][ 1 amp; 2 amp; 3; 2 amp; 3 amp; 1; ]=[ 1 × 1 +( 2)× 2 amp; 1 × 2 +( 2)× 3 amp; 1 × 3 +( 2)× ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Scalar Multiplication of a Matrix

Compute the i...

Question

Compute the indicated product.
$[\begin{matrix} 1 & - 2 2 & 3 \end{matrix}]$ $[\begin{matrix} 1 & 2 & 3 2 & 3 & 1 \end{matrix}]$

Open in App

Solution

$[\begin{matrix} 1 & - 2 2 & 3 \end{matrix}] [\begin{matrix} 1 & 2 & 3 2 & 3 & 1 \end{matrix}] = [\begin{matrix} 1 \times 1 + (- 2) \times 2 & 1 \times 2 + (- 2) \times 3 & 1 \times 3 + (- 2) \times 1 2 \times 1 + 3 \times 2 & 2 \times 2 + 3 \times 3 & 2 \times 3 + 3 \times 1 \end{matrix}] = [\begin{matrix} - 3 & - 4 & 1 8 & 13 & 9 \end{matrix}]$

Suggest Corrections

Similar questions

Compute the indicated product
$⎡ ⎢ ⎣ \begin{matrix} 2 & 1 3 & 2 - 1 & 1 \end{matrix} ⎤ ⎥ ⎦$ $[\begin{matrix} 1 & 0 & 1 - 1 & 2 & 1 \end{matrix}]$

Compute the indicated product.
$⎡ ⎢ ⎣ \begin{matrix} 2 & 3 & 4 3 & 4 & 5 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦$ $⎡ ⎢ ⎣ \begin{matrix} 1 & - 3 & 5 0 & 2 & 4 3 & 0 & 5 \end{matrix} ⎤ ⎥ ⎦$

Compute the indicated product.
$[\begin{matrix} 3 & - 1 & 3 - 1 & 0 & 2 \end{matrix}]$ $⎡ ⎢ ⎣ \begin{matrix} 2 & - 3 1 & 0 3 & 1 \end{matrix} ⎤ ⎥ ⎦$

Compute the indicated products.
$(i) [\begin{matrix} a & b - b & a \end{matrix}] [\begin{matrix} a & - b b & a \end{matrix}]$

$(i i) ⎡ ⎢ ⎣ \begin{matrix} 123 \end{matrix} ⎤ ⎥ ⎦ [234]$

$(i i i) [\begin{matrix} 1 & - 2 2 & 3 \end{matrix}] [\begin{matrix} 1 & 2 & 3 2 & 3 & 1 \end{matrix}]$

$(i v) ⎡ ⎢ ⎣ \begin{matrix} 2 & 3 & 4 3 & 4 & 5 4 & 5 & 6 \end{matrix} ⎤ ⎥ ⎦ ⎡ ⎢ ⎣ \begin{matrix} 1 & - 3 & 5 0 & 2 & 4 3 & 0 & 5 \end{matrix} ⎤ ⎥ ⎦$

$(v) ⎡ ⎢ ⎣ \begin{matrix} 2 & 1 3 & 2 - 1 & 1 \end{matrix} ⎤ ⎥ ⎦ [\begin{matrix} 1 & 0 & 1 - 1 & 2 & 1 \end{matrix}]$

$(v i) [\begin{matrix} 3 & - 1 & 3 - 1 & 0 & 2 \end{matrix}] ⎡ ⎢ ⎣ \begin{matrix} 2 & - 3 1 & 0 3 & 1 \end{matrix} ⎤ ⎥ ⎦$

Compute the indicated product.
$⎡ ⎢ ⎣ \begin{matrix} 123 \end{matrix} ⎤ ⎥ ⎦ [234]$

Join BYJU'S Learning Program

Compute the indicated product. [1−223][123231]

[1−223][123231]=[1×1+(−2)×21×2+(−2)×31×3+(−2)×12×1+3×22×2+3×32×3+3×1]=[−3−418139]

Compute the indicated product.
$[\begin{matrix} 1 & - 2 2 & 3 \end{matrix}]$ $[\begin{matrix} 1 & 2 & 3 2 & 3 & 1 \end{matrix}]$