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Matrices - SAMAGRA Question Pool & Answers | Class 12

Kerala Syllabus SAMAGRA SCERT SAMAGRA Question Pool for Class 12 Maths Matrices

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Qn 1.

Let A equals open square brackets table row 2 cell negative 1 end cell row 1 2 end table close square brackets space comma space B equals open square brackets table row 3 1 row 0 2 end table close square brackets space space comma C equals open square brackets table row cell negative 1 end cell 0 row 2 5 end table close square brackets

Show that (i) A(BC) = (AB)C

                 (ii) A(B+C) = AB + AC



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Qn 2.

If M left parenthesis X right parenthesis equals open square brackets table row 1 0 0 row 0 cell cos x end cell cell negative sin x end cell row 0 cell sin x end cell cell cos x end cell end table close square brackets

(a) Prove that M(X).M(Y)=M(X+Y)

(b)Change the order as 2 x 2 by eliminating one row and one column such that M(X).M(Y)=M(X+Y)



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Qn 3.

Let A equals open square brackets table row 2 cell negative 1 end cell row 3 4 end table close square brackets space comma space B equals open square brackets table row 5 2 row 7 4 end table close square brackets a n d space C equals open square brackets table row 2 5 row 3 8 end table close square bracketsfind a matrix D such that CD = AB



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