Matrix Problems

[sidius]

I am looking for an easy way to solve some of these matrix problems directly through the TI-89.
Obviously, the majority of the matrix questions are simple determinants and matrix math. But I'm looking
for a way to solve a problem like 06H-47 entirely in the calculator.

06H-47
If B=5C-2A, B13 = 27, C = [-7,4,x; -5,16,-5; 6,7,4] and A = [13,5,4; 4,17,6; 6,5,-21], what is x ?

Any suggestions as to the quickest, most comprehensive way to solve this using a TI-89?

Thanks

[AuSmith]

This problem would take much longer with a calculator... just don't touch it.

[sidius]

I was hoping it was as straight forward as the others. I've been trying to
find a way to to use a solve, but it always wastes too much time.

[88bobcat]

[sidius]

That's perfect. Thanks so much!

[SumitG]

Actually, if you have a TI-89 on the desk, this problem can easily and quickly be solved almost entirely with your calculator (you still need to comprehend the problem).

[AuSmith]

How could a calculator possibly help if you understand the problem? Just solve

[unparseable or potentially dangerous latex formula]

[SumitG]

I should've worded my response differently. While for this problem, it's likely quicker to just solve the equation found above, often the problems involve finding the determinant of multiplied matrices and the such. In these more complicated cases, I personally find it much easier just to utilize the pre-programmed matrix operations and solver on the 89.

[AuSmith]

Ohhhh.