Please excuse the lack of latex, I'm in somewhat of a hurry and I do not have the time to lookup the latex syntax for matrices. With that out of the way, here is my question?(adsbygoogle = window.adsbygoogle || []).push({});

For an upcoming test question we were given example questions that may or may not appear on the test.

One question was given as:

Does matrix A belong to span(A_1,A_2,A_3)

A_1 = (1 2)

(3 4)

A_2 = ....

A_3 = ....

or for which values of [tex] \alpha [/tex]

--------

NOTE:

The syntax of A_1 is just what I'm using it to make it readable, thus:

a_11 = 1

a_12 = 2

a_21 = 3

a_22 = 4

--------

So, as you can see the question is not really detailed. It's just to give us an idea of the question. If the question was something like:

does [tex] \vec{V} [/tex] belong to span(A_1,A_2) where A_1=(1,4,3)^T , A_2=(-2,-1,0)^T

Then I definitely understand how to solve the problem. I'm just confused with the comment of, does this matrix belong, and where A_1 will equal something like:

(a b)

(c d)

Would it make sense to solve the problem like this:

* If we use the given problem above.

----

Does matrix A belong to span(A_1,A_2,A_3)

A_1 = (1 2)

(3 4)

A_2 = ....

A_3 = ....

----

* Then write A_n as a vector like:

Does the matrix A (where A=something like (a1,a2,a3,a4)^T ) belong to span(A_1,A_2,A_3)

where A_n = something like (a,b,c,d)^T

Ok, sorry if this is confusing... I just feel like I don't understand well enough what the question is asking. Also, one last thing... when someone says span(A_1,A_2)

where A_1 = (a b)

(c d)

does that mean that A_1 is in the vector space R^4 and is that the same as R^(2x2)?

thank you. and again I apologize for not using tex. (i'm just in a hurry here)

:)

thanks guys

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# Does matrix A belong to span(A_1,A_2, )

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