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  • Explain solution RD Sharma class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 4 maths

Explain solution RD Sharma class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 4 maths

Answers (1)

Answer:

 a = 3 and b = 4.

Hint:

Use basic concept of matrix multiplication

Given:

.a<b \text { and }\left[\begin{array}{ll} a & b \end{array}\right]\left[\begin{array}{l} a \\ b \end{array}\right]=25

Solution:

\begin{aligned} &\left[\begin{array}{ll} a & b \end{array}\right]\left[\begin{array}{l} a \\ b \end{array}\right]=25 \\ &{[a \times a+b \times b]=25} \end{aligned}

simplify the multiplication

\begin{aligned} &{\left[a^{2}+b^{2}=25\right]} \\ &\text { Let's } a=3, b=4 \\ &\text { Then } L . H . S .=3^{2}+4^{2}=9+16=25=R . H . S . \\ &\text { So, } a=3, b=4 \end{aligned}

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