Matrix Multiplication Question — What matrix do you get with these matrix multiplications?

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  • #1
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Homework Statement:

Anyone who understands this?

Relevant Equations:

I think it has something to do with multiplying matrix A and B? But I can't figure out.
1596180846689.png
 
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Answers and Replies

  • #2
etotheipi
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If matrix ##P## has dimensions ##w \times x## and matrix ##Q## has dimensions ##y \times z##, what is the condition for the product ##PQ## to be defined? Think in terms of rows and columns...
 
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The new matrix will be 2x3..

But I still cant understand it ://
 
  • #4
etotheipi
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What is the relationship between the number of columns in the matrix on the left and the number of rows in the matrix on the right, when they’re multiplied together?
 
  • #5
PeroK
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The new matrix will be 2x3..

But I still cant understand it ://
Why don't you try to calculate the matrix ##C## in each case? See which ones you can do and which ones you can't.
 
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  • #6
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I cant find out how to do that in my book. Have tried for a long time now.
What does the A^T and B^T represent?
 
  • #8
WWGD
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If the general entry is described by ##A=(a_{ij} )##, where i is the ith column and j is the jth row, then ##A^{T}:=(a_{ji})## , meaning a flip of rows and columns in the original matrix ( The one with Keanu, I think; ) ).
 
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