Given A- - 0 4 6- 3 0 -1 - B - - 0 1- -1 2- -5 -6 - is the following possible- i AB ii BA iii A2

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard X

Mathematics

Multiplication of Matrices

Given A= [ 0 ...

Question

Given A $= [\begin{matrix} 0 & 4 & 6 3 & 0 & - 1 \end{matrix}]$
$B = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 - 1 & 2 - 5 & - 6 \end{matrix} ⎤ ⎥ ⎦$
is the following possible:
(i) AB (ii) BA (iii) $A^{2}$

Open in App

Solution

3)-Multiplication not possible because no. of columns in A is not equal to no. of rows.

Suggest Corrections

Similar questions

Let $A = [\begin{matrix} 2 & 4 3 & 2 \end{matrix}], B = [\begin{matrix} 1 & 3 - 2 & 5 \end{matrix}], C = [\begin{matrix} - 2 & 5 3 & 4 \end{matrix}]$ . Find each of the following:
(i)A+B

(ii)A-B

(iii)3A-C

(iv)AB

(v)BA

Let $A = [\begin{matrix} 2 & 1 0 & - 2 \end{matrix}], B = [\begin{matrix} 4 & 1 - 3 & - 2 \end{matrix}]$ and $C = [\begin{matrix} - 3 & 2 - 1 & 4 \end{matrix}]$ Find: $A^{2} + A C - 5 B$

If A = $[\begin{matrix} 3 & 7 2 & 4 \end{matrix}], B = [\begin{matrix} 0 & 2 5 & 3 \end{matrix}]$ , and $C = [\begin{matrix} 1 & - 5 - 4 & 6 \end{matrix}]$ , find AB - 5C.

Q. Let

A = ⎡ ⎢ ⎣ \begin{matrix} 1 & 1 & 1 0 & 1 & 1 0 & 0 & 1 \end{matrix} ⎤ ⎥ ⎦

. Then for positive integer

n, A^{n}

Q. If

A = [\begin{matrix} 0 & - i i & 0 \end{matrix}]

B = [\begin{matrix} 1 & 0 0 & - 1 \end{matrix}]

, then

A B + B A

Join BYJU'S Learning Program

Given A=[04630−1] B=⎡⎢⎣01−12−5−6⎤⎥⎦ is the following possible: (i) AB (ii) BA (iii) A2

3)-Multiplication not possible because no. of columns in A is not equal to no. of rows.

Given A $= [\begin{matrix} 0 & 4 & 6 3 & 0 & - 1 \end{matrix}]$
$B = ⎡ ⎢ ⎣ \begin{matrix} 0 & 1 - 1 & 2 - 5 & - 6 \end{matrix} ⎤ ⎥ ⎦$
is the following possible:
(i) AB (ii) BA (iii) $A^{2}$