Given 1- begin pmatrix 180 - 0 10 - 1 - 0 10 - 0 - 1 e n d p m a t r i x Find 12A- beginpmatrix 0 - 0 - 0 10 - 0 - 0 10 - 0 - 0 e n d p m a t r i x B- beginpmatrix 180 - 0 10 - 1 - 0 10 - 0 - 1 e n d p m a t r i x C- beginpmatrix 1 - 1 - 11 - 1 - 1181 - 1 e n d p m a t r i x D- Vbeginpmatrix 180 - 0 0 - 1 - 0 11 - 1 - 1 e n d p m a t r i x

The correct option is B [ 1 amp;0 amp;0; 0 amp; 1 amp;0; 0 amp; 0 amp; 1 ] l^2=l.l=[ 1 amp;0 amp;0; 0 amp;1 amp;0; 0 amp; ...

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

Byju's Answer

Standard X

Mathematics

Identity Matrix

Given 1=| beg...

Question

Given $l = ⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎞ ⎟ ⎠$ Find $l^{2}$

$⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎞ ⎟ ⎠$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$⎛ ⎜ ⎝ \begin{matrix} 0 & 0 & 0 0 & 0 & 0 0 & 0 & 0 \end{matrix} ⎞ ⎟ ⎠$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$⎛ ⎜ ⎝ \begin{matrix} 1 & 1 & 1 1 & 1 & 1 1 & 1 & 1 \end{matrix} ⎞ ⎟ ⎠$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 1 & 1 & 1 \end{matrix} ⎞ ⎟ ⎠$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
$⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎞ ⎟ ⎠$

$l^{2} = l . l = ⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎞ ⎟ ⎠ \times ⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎞ ⎟ ⎠ = ⎛ ⎜ ⎝ \begin{matrix} 1 + 0 + 0 & 0 + 0 + 0 & 0 + 0 + 0 0 + 0 + 0 & 0 + 1 + 0 & 0 + 0 + 0 0 + 0 + 0 & 0 + 0 + 0 & 0 + 0 + 1 \end{matrix} ⎞ ⎟ ⎠$

$= ⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎞ ⎟ ⎠$

Suggest Corrections

Similar questions

Find a matrix X such that A-X=B, given

$A = ⎛ ⎜ ⎝ \begin{matrix} 3 & 7 & 2 - 4 & - 3 & 0 5 & 1 & - 2 \end{matrix} ⎞ ⎟ ⎠ a n d B = ⎛ ⎜ ⎝ \begin{matrix} 8 & - 6 & 1 2 & 0 & - 3 3 & 4 & - 1 \end{matrix} ⎞ ⎟ ⎠$

Matrix $A = ⎛ ⎜ ⎝ \begin{matrix} 6 & 0 & 0 0 & 6 & 0 0 & 0 & 6 \end{matrix} ⎞ ⎟ ⎠$ is a ___ matrix

Given $M = ⎛ ⎜ ⎝ \begin{matrix} 9 & 7 & - 8 - 6 & 5 & 4 - 3 & 2 & - 1 \end{matrix} ⎞ ⎟ ⎠$ , Find a matrix N such that M + N is a null matrix.

Q. If

A = ⎡ ⎢ ⎣ \begin{matrix} a & 0 & 0 0 & b & 0 0 & 0 & c \end{matrix} ⎤ ⎥ ⎦

, then

A^{n} =

Q. If

A = ⎡ ⎢ ⎣ \begin{matrix} a & 0 & 0 0 & b & 0 0 & 0 & c \end{matrix} ⎤ ⎥ ⎦

, then

A^{n} =

Join BYJU'S Learning Program

Given l=⎛⎜⎝100010001⎞⎟⎠ Find l2

The correct option is A ⎛⎜⎝100010001⎞⎟⎠ l2=l.l=⎛⎜⎝100010001⎞⎟⎠×⎛⎜⎝100010001⎞⎟⎠=⎛⎜⎝1+0+00+0+00+0+00+0+00+1+00+0+00+0+00+0+00+0+1⎞⎟⎠ =⎛⎜⎝100010001⎞⎟⎠

Given $l = ⎛ ⎜ ⎝ \begin{matrix} 1 & 0 & 0 0 & 1 & 0 0 & 0 & 1 \end{matrix} ⎞ ⎟ ⎠$ Find $l^{2}$