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  • Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 65 Maths Textbook Solution.

Please Solve RD Sharma Class 12 Chapter 4 Algebra of Matrices Exercise Very Short Asnwer Question 65 Maths Textbook Solution.

Answers (1)

Answer: Possible matrix is 81 ways

Hint: Here we use basic concept of matrix algebra

Given: All possible matrix 2\times2with entry 1,2,3

Solution:

Let \begin{bmatrix} a & b\\ c & d \end{bmatrix}_{2\times2}

\! \! \! \! \! \! \! \! So, a=1,2\: or\: 3=3 ways\\ b=1,2\: or\: 3=3 ways\\ c=1,2\: or\: 3=3 ways\\ d=1,2\: or \: 3=3 ways\\ Total \: possible \: ways =3^{4}\\ =81\: ways

 

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