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  • Provide solution for RD Sharma maths class 12 chapter Determinants exercise 5.1 question 1 subquestion (ii)

Provide solution for RD Sharma maths class 12 chapter Determinants exercise 5.1 question 1 subquestion (ii)

Answers (1)

Answer:

\mathrm{M}_{11}=3, \mathrm{M}_{21}=4, \mathrm{C}_{11}=3, \mathrm{C}_{21}=-4

Hint:

Let Mij, Cij represents minor and cofactor of an element, where i and j represent the row and column. The minor of matrix can be obtained for particular element by removing the row and column where the element is present.

Given:

A=\begin{bmatrix} -1 &4 \\ 2 &3 \end{bmatrix}

Solution:

\begin{aligned} &\mathrm{M}_{11}=3 \\ &\mathrm{M}_{21}=4 \\ &\mathrm{C}_{\mathrm{ij}}=(-1)^{\mathrm{i}+j} \mathrm{M}_{\mathrm{ij}} \\ &\mathrm{C}_{11}=(-1)^{2} 3=3 \\ &\mathrm{C}_{21}=(-1)^{3} 4=-4 \\ &\mathrm{D}=(-1 \times 3)-(2 \times 4)=-3-8=-11 \end{aligned}

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Gurleen Kaur

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