Is is possible to multiply the matrix M with either A or c?

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Homework Help Overview

The discussion revolves around the multiplication of matrices, specifically whether matrix M can be multiplied with matrices A or vector c. Participants are exploring the conditions under which these operations are valid based on matrix dimensions and properties.

Discussion Character

  • Exploratory, Assumption checking, Conceptual clarification

Approaches and Questions Raised

  • Participants inquire about the dimensions of matrices A and c, and whether multiplication is feasible. There is also a question regarding the method of combining these matrices, particularly whether division is applicable or if multiplication is the only operation.

Discussion Status

The discussion is active with participants confirming the dimensions of the matrices and questioning the operations that can be performed. Some guidance has been offered regarding matrix multiplication and the conditions for invertibility, but no consensus has been reached on the specific approach to take.

Contextual Notes

Participants are considering the implications of matrix dimensions and the properties of matrix A, particularly its invertibility, which may affect the operations discussed.

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Homework Statement
Matrices
Relevant Equations
(mxn) x (nxk)
is is possible to multiply the matrix M with either A or c->?

1604056880932.png

And if i have to write the matrices in this form:
1604057047363.png
, do i divide c-> by A or do i follow som other formula?
 
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What are the dimensions of ##A## of and ##\vec{c}##?
 
3x3 and 3x1, they can be multiplied
 
conv said:
3x3 and 3x1, they can be multiplied

Yes, so what's your question? Can you please clarify?
 
How can i find vector x :

1604059214015.png

Do i have to multiply A with c ? Because its not possible to divide them?
 
You have to matrix multiply by the left by ##A^{-1}##, assuming that ##A## is non-singular.
 
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For what values of ##s## is ##A## an invertible matrix? (Possible hint: Determinants).
 
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