Can you multiply this matrix with a singular value?

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Homework Help Overview

The discussion revolves around the multiplication of matrices, specifically a 2x3 matrix and a 3x1 matrix, and the implications of singular values in this context.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the conditions under which matrix multiplication is valid and discuss the resulting dimensions. There is also a focus on the correct representation of the resulting matrix.

Discussion Status

Some participants have confirmed the multiplication process and the resulting matrix format, while others are clarifying the notation used for the output. There is an ongoing exploration of terminology related to matrices.

Contextual Notes

There is a mention of potential confusion regarding the singular form of "matrices," indicating a focus on precise mathematical language.

TonyC
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I understand the number of rows must equal the number of columns to multiply but:

Is it possible to find the product of this matrice?

AB if A= 0...9... -6
... -2...-10...7

B= 7
...5
...-2
 
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Yes, you can multiply a 2x3 matrix with a 3x1 matrix. The result will be a 2x1 matrix.

In general, you can only multiply a axb matrix with cxd matrix if b=c. The result is an axd matrix.
 
Just so I have this straight:
(0)(7) + (9)(5) + (-6)(-2) = 57
(-2)(7) + (-10)(5) + (7)(-2) = -78

written:
57
-78

am I correct?
 
or is it written: [57,-78] ?
 
You can write it either way. Vertically, like you had it. Or horiz. with a T above the right parenthase. That is to indicate it is the transpose.
 
Thank you very much!
 
By the way- the singular of "matrices" is "matrix", not "matrice".
 

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