In the matrix A - - a x2- y2 b - write iii the elements a21- a12and a22-

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Standard XII

Mathematics

Cardinality of Power Set of a Set

In the matrix...

Question

In the matrix A = $[\begin{matrix} a & x^{2} \\ y^{2} & b \end{matrix}]$ , write (iii) the elements $a_{21}$ , $a_{12}$ and $a_{22}$ .

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Solution

Find the elements of $a_{21}$ , $a_{12}$ and $a_{22}$ :
$a_{21}$ = Element in the second row and the first column.
$a_{12}$ = Element in the first row and the second column
$a_{22}$ = Element in the second row and the second column.

Thus, the value of elements are $a_{21} = y^{2}, a_{12} = x^{2}, a_{22} = b$

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In the matrix A = ax2y2b, write (iii) the elements a21, a12and a22.

Find the elements of a21, a12 and a22: a21= Element in the second row and the first column.a12= Element in the first row and the second columna22= Element in the second row and the second column. Thus, the value of elements are a21=y2,a12=x2,a22=b

In the matrix A = $[\begin{matrix} a & x^{2} \\ y^{2} & b \end{matrix}]$ , write (iii) the elements $a_{21}$ , $a_{12}$ and $a_{22}$ .