Question

2 points
If AB=C,Matrices B and C of
order 3 x 4 then order of
Matrix A is *
4 x 4
3x3
O 3x2
4 x 3​

Answer 1

$\underline { \pink { Multiplication \:rule \:of \: matrices: }}</p><p>The number of columns of the 1st matrix must equal the number of rows of the 2nd matrix .And the result will have the same number of rows as the 1st matrix ,and the same number of columns as the 2nd matrix.</p><p>[tex] Let \: Order \:of \: matrix A = m \times n$

$Order \:of \: matrix B \: and \: C = 3 \times 4$

/* According to the rule */

$Number \:of \:rows \: of \: Matrix A \\= Number \:of \:rows \: of \: Matrix C$

$\implies m = 3$

$Number \:of \:columns \: of \: Matrix A \\= Number \:of \: rows \: of \: Matrix B$

$\implies n = 3$

Therefore.,

$\red { Order \: of \: Matrix \: A } \green { = 3 \times 3 }$

•••♪