ICSE Class X Math 2016 Solved Paper

Given $A={[\table 4 sin \;30^{∘} , \cos 0^{∘} ; \cos 0^{∘} , 4 sin \;30^{∘}]}$ and $B={[\table 4 ; 5]}$ If $A X=B$

Question : 27 of 57

Marks: +1, -0

Write the order of matrix

X

Solution:

\;\;\text " Given : "\; {\A}={[\table 4 sin \;30^{∘} , \cos 0^{∘} ; \cos 0^{∘} , 4 sin \;30^{∘} ]}

\;\;\text " and "\; {\B}={[\table 4 ; 5 ]}

Order of

A=2 × 2

, Order of

B=2 × 1

Also given:

\;\; {\AX}= {\B}

[]_{2 × 2}[]_{2 × 1}=[]_{2 × 1}

∴ \;\;

Order of

X=2 × 1 \;\;

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