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  • Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 43

Need solution for RD Sharma maths class 12 chapter 4 Algebra of Matrices exercise Fill in the blank question 43

Answers (1)

Answer:

 3

Hint:

 For this we must aware with matrix multiplication concept

Given:

 \begin{aligned} &{\left[\begin{array}{lll} 3 & -2 & 0 \end{array}\right]\left[\begin{array}{c} 2 \\ k \\ -5 \end{array}\right]=0} \\ &\text { Find } k=\text { ? } \end{aligned}

Solution:

\begin{aligned} &{\left[\begin{array}{lll} 3 & -2 & 0 \end{array}\right]\left[\begin{array}{c} 2 \\ k \\ -5 \end{array}\right]=0} \\ \end{aligned}

Here 1st has 3 columns and 2nd has 3 rows

So, matrix multiplication is possible

\begin{aligned} &{\left[\begin{array}{lll} 3 & -2 & 0 \end{array}\right]\left[\begin{array}{c} 2 \\ k \\ -5 \end{array}\right]=0} \\ &{[6+(-2 k)+0]=0} \\ &6-2 k=0 \\ &k=3 \end{aligned}

 

Posted by

Gurleen Kaur

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