If $A$ is of order $2 imes 3$ and $B$ is of order $3 imes 4$, then t…

Question

If $A$ is of order $2	imes 3$ and $B$ is of order $3	imes 4$, then the product $AB$ is defined and has order

Accepted Answer

A. $2	imes 4$

Matrix multiplication is possible when the number of columns of the first matrix equals the number of rows of the second.
Here, $A$ is $2	imes 3$ and $B$ is $3	imes 4$, so $AB$ exists and has order given by the outer numbers: $2	imes 4$.

Answer

$3	imes 3$

Answer

$2	imes 3$

Answer

$4	imes 2$

If $A$ is of order $2\times 3$ and $B$ is of order $3\times 4$, then the product $AB$ is defined and has order

Keep practising Unit 8B: Volumes of Revolution and Cross-Sections