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

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In summary, the conversation discusses the possibility of multiplying a matrix M with either matrix A or vector c->, and the question of how to write the matrices in a specific form. The dimensions of A and c-> are given as 3x3 and 3x1, respectively, and it is stated that they can be multiplied. The conversation then moves on to clarifying the question of finding vector x and whether it should be multiplied by A or not. The response is that A should be multiplied by its inverse, assuming A is non-singular. Finally, there is a question about the values of s for which A is an invertible matrix, with a possible hint being the use of determinants.
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conv
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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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  • #2
What are the dimensions of ##A## of and ##\vec{c}##?
 
  • #3
3x3 and 3x1, they can be multiplied
 
  • #4
conv said:
3x3 and 3x1, they can be multiplied

Yes, so what's your question? Can you please clarify?
 
  • #5
How can i find vector x :

1604059214015.png

Do i have to multiply A with c ? Because its not possible to divide them?
 
  • #6
You have to matrix multiply by the left by ##A^{-1}##, assuming that ##A## is non-singular.
 
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  • #7
For what values of ##s## is ##A## an invertible matrix? (Possible hint: Determinants).
 
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FAQ: Is is possible to multiply the matrix M with either A or c?

Can a matrix be multiplied by a scalar?

Yes, a matrix can be multiplied by a scalar. This operation is known as scalar multiplication, where each element in the matrix is multiplied by the scalar value.

Can a matrix be multiplied by another matrix?

Yes, a matrix can be multiplied by another matrix. This operation is known as matrix multiplication, where the number of columns in the first matrix must match the number of rows in the second matrix.

Is the order of multiplication important when multiplying a matrix by a scalar or another matrix?

Yes, the order of multiplication is important when multiplying a matrix by a scalar or another matrix. The order must be maintained to ensure the correct result is obtained.

Is it possible to multiply a matrix by a vector?

Yes, it is possible to multiply a matrix by a vector. This operation is known as matrix-vector multiplication, where the number of columns in the matrix must match the number of elements in the vector.

Can a matrix be multiplied by a complex number?

Yes, a matrix can be multiplied by a complex number. This operation is similar to scalar multiplication, where each element in the matrix is multiplied by the complex number.

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