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  • Provide solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 26 maths textbook solution.

Provide solution for RD Sharma maths Class 12 Chapter 5 Determinants Exercise VSQ Question 26 maths textbook solution.

Answers (1)

Answer: 0

Hint: Here we use basic concept of determinant of matrix

Given: \left|\begin{array}{ccc} 243 & 156 & 300 \\ 81 & 52 & 100 \\ -3 & 0 & 4 \end{array}\right|

Solution :

Using the property that if the equimultiples of corresponding elements of other rows are added to every element of any row of determinant then the value of determinant remains the same.

\rightarrow Using row transformation \mathrm{R}_{1} \rightarrow R_{1}-3 R_{2}

We get,

\Delta=\left|\begin{array}{ccc} 243-81 \times 3 & 156-52 \times 3 & 300-100 \times 3 \\ 81 & 52 & 100 \\ -3 & 0 & 4 \end{array}\right|

\Delta=\left|\begin{array}{ccc} 0 & 0 & 0 \\ 81 & 52 & 100 \\ -3 & 0 & 4 \end{array}\right|

\rightarrow Here 1st whole column is zero

So \Delta =0

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