If A = left[ {begin{array}{*{20}{c}}1&2&35&0&76&2&5end{array}} right] and B

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3 and 4 .Determinants and Matrices

easy

If $A = \left[ {\begin{array}{{20}{c}}1&2&3\\5&0&7\\6&2&5\end{array}} \right]$and $B = \left[ {\begin{array}{{20}{c}}1&3&5\\0&0&2\end{array}} \right]$, then which of the following is defined

$AB$

$A + B$

$A'B'$

$B'A'$

Solution

(c) By inspection, $A'$is a matrix of order $3 \times 3$ and $B'$is a matrix of order $3 \times 2$. Therefore multiplication of these matrices is defined.

Standard 12

Mathematics

Let $A$ be a non-zero periodic matrix with period $4$ and $A^{12} + B =I$, where $I$ is identity matrix and $B$ is any square matrix of same order as of $A$. Matrix product $AB$ is equal to

normal

If $A$ and $B $ be symmetric matrices of the same order, then $AB – BA$ will be a

easy

If $A_1, A_3, ….. A_{2n – 1}$ are $n$ skew symmetric matrices of same order then $B =$$\sum\limits_{r = 1}^n {(2r – 1){{({A_{2r – 1}})}^{2r – 1}}} $ will be

normal

If $A,B,C$are three $n \times n$ matrices, then $(ABC)' = $

normal

Identify the incorrect statement in respect of two square matrices $A$ and $B$ conformable for sum and product.

normal

If $A = \left[ {\begin{array}{*{20}{c}}1&2&3\\5&0&7\\6&2&5\end{array}} \right]$and $B = \left[ {\begin{array}{*{20}{c}}1&3&5\\0&0&2\end{array}} \right]$, then which of the following is defined

Solution

Similar Questions

Let $A$ be a non-zero periodic matrix with period $4$ and $A^{12} + B =I$, where $I$ is identity matrix and $B$ is any square matrix of same order as of $A$. Matrix product $AB$ is equal to

If $A$ and $B $ be symmetric matrices of the same order, then $AB – BA$ will be a

If $A_1, A_3, ….. A_{2n – 1}$ are $n$ skew symmetric matrices of same order then $B =$$\sum\limits_{r = 1}^n {(2r – 1){{({A_{2r – 1}})}^{2r – 1}}} $ will be

If $A,B,C$are three $n \times n$ matrices, then $(ABC)' = $

Identify the incorrect statement in respect of two square matrices $A$ and $B$ conformable for sum and product.

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If $A = \left[ {\begin{array}{{20}{c}}1&2&3\\5&0&7\\6&2&5\end{array}} \right]$and $B = \left[ {\begin{array}{{20}{c}}1&3&5\\0&0&2\end{array}} \right]$, then which of the following is defined