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 December 29th, 2018, 06:07 PM #1 Newbie   Joined: Dec 2018 From: Japan Posts: 2 Thanks: 0 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.
 December 29th, 2018, 06:22 PM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,430 Thanks: 1315 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 $y,~z$ Thanks from topsquark, ProofOfALifetime and alskaans
 December 29th, 2018, 07:48 PM #3 Newbie   Joined: Dec 2018 From: Japan Posts: 2 Thanks: 0 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
December 29th, 2018, 08:22 PM   #4
Senior Member

Joined: Sep 2015
From: USA

Posts: 2,430
Thanks: 1315

Quote:
 Originally Posted by alskaans 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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