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3 and 4 .Determinants and Matrices
easy
જો $A = \left[ {\begin{array}{*{20}{c}}i&0\\0&{ - i}\end{array}} \right],B = \left[ {\begin{array}{*{20}{c}}0&i\\i&0\end{array}} \right]$, કે જ્યાં $i = \sqrt { - 1} $, તો સાચો સંબંધ મેળવો.
A
$A + B = O$
B
${A^2} = {B^2}$
C
$A - B = O$
D
${A^2} + {B^2} = O$
Solution
(b) Relation ${A^2} = {B^2}$is true because ${A^2} = \left[ {\begin{array}{*{20}{c}}{ – 1}&0\\0&{ – 1}\end{array}} \right]$ and ${B^2} = \left[ {\begin{array}{*{20}{c}}{ – 1}&0\\0&{ – 1}\end{array}} \right]$have same matrices.
Standard 12
Mathematics
