Find the transpose of each of the following matrices- ibmatrix 511 frac 12 1-1lendbmatrix ii -beginbmatrix 1 -1 12 - 3 1lendbmatrix iii bmatrix -1 - 5 - 6 sqrt 3- 5 - 6 2 - 3 -1 e n d b m a t r i x

Let A =[ 5; 1/2; 1; ], then A'=[5 1/2 1]_1 × 3 Let A =[ 1 amp; 1; 2 amp; 3 ], then A'= [ 1 amp; 2; 1 amp; 3 ] Let A =[ ...

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Standard XII

Mathematics

Adjoint of a Matrix

Find the tran...

Question

Find the transpose of each of the following matrices.
$(i) ⎡ ⎢ ⎢ ⎣ \begin{matrix} 5 \frac{1}{2} - 1 \end{matrix} ⎤ ⎥ ⎥ ⎦$

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

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

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Solution

Let $A = ⎡ ⎢ ⎢ ⎣ \begin{matrix} 5 \frac{1}{2} - 1 \end{matrix} ⎤ ⎥ ⎥ ⎦$ , then $A^{'} = [5 \frac{1}{2} - 1]_{1 \times 3}$

Let $A = [\begin{matrix} 1 & - 1 2 & 3 \end{matrix}]$ , then $A^{'} = [\begin{matrix} 1 & 2 - 1 & 3 \end{matrix}]$

Let $A = ⎡ ⎢ ⎣ \begin{matrix} - 1 & 5 & 6 \sqrt{3} & 5 & 6 2 & 3 & - 1 \end{matrix} ⎤ ⎥ ⎦, t h e n A^{'} = ⎡ ⎢ ⎣ \begin{matrix} - 1 & \sqrt{3} & 2 5 & 5 & 3 6 & 6 & - 1 \end{matrix} ⎤ ⎥ ⎦$

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Find the transpose of each of the following matrices. (i)⎡⎢ ⎢⎣512−1⎤⎥ ⎥⎦ (ii)[1−123] (iii)⎡⎢⎣−156√35623−1⎤⎥⎦

Let A=⎡⎢ ⎢⎣512−1⎤⎥ ⎥⎦, then A′=[5 12 −1]1× 3 Let A=[1−123], then A′=[12−13] Let A=⎡⎢⎣−156√35623−1⎤⎥⎦,then A′=⎡⎢⎣−1√3255366−1⎤⎥⎦

Find the transpose of each of the following matrices.
$(i) ⎡ ⎢ ⎢ ⎣ \begin{matrix} 5 \frac{1}{2} - 1 \end{matrix} ⎤ ⎥ ⎥ ⎦$

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

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