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December 29th, 2018, 06:07 PM   #1
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Matrix Problem

A is 2 x 3
B is x x 4
C is y x z
Find the values of x,y, and z such that:

i)The matrix operation ABC is a square matrix.

ii)The operation AB + C is possible.
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December 29th, 2018, 06:22 PM   #2
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in general if $M_1$ is $j \times k$ and $M_2$ is $m \times n$

then in order for $M_1 M_2$ to be a valid operation $k = m$
and $M_1 M_2$ will be $j \times n$

in order form $M_1 + M_2$ to be a valid operation $j=m,~k=n$

$A:2 \times 2$
$B:x \times 4$
$C:y \times z$

$ABC \Rightarrow (2\times2)(x \times 4)(y \times z)$

given what's stated above it should be pretty easy to come up with
the values of $x,~y,~z$ to make $ABC$ valid and result in a square matrix.

for the 2nd question we note that

the dimensions of $AB$ are easily determined once the proper value of $x$ is selected.

Those dimensions dictate the values of $y,~z$
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December 29th, 2018, 07:48 PM   #3
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Thanks for your reply.

I'm quite new in mathematics.

If you don't mind, would you explain how to get the answers for i) and ii)?

cheers
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December 29th, 2018, 08:22 PM   #4
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Quote:
Originally Posted by alskaans View Post
Thanks for your reply.

I'm quite new in mathematics.

If you don't mind, would you explain how to get the answers for i) and ii)?

cheers
If you are quite new to mathematics then why are you working with matrices?

The only further assistance I could provide you on this problem is to simply tell you the answers.

I'm not going to do that.
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