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Hi, can you please help me on this. thank you so much smiley

 

Consider the matrices. 

 

L = [2     -3]    ,    M= [ -1     7]    ,   N= [1    2    3     4]     ,    P= [0   0]    and    Q= [-6]
       1     2                   -2      -6                                                    0    0                     -8

                                    2      -3

                                    -1     10

 

What products are defined for these matrices ? 

 

Fill in the blanks of what options correctly fit the title (Product is Defined) or (Product is not Defined) :

 

Product is Defined                Product is not Defined

 

 

________________                    _________________

 

OPTIONS: 

a.) QM   b.) NM    c.) LP  d.) LQ

 Aug 18, 2023
 #1
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The following are the possible products for matrices:

Matrix multiplication: Two matrices can be multiplied if the number of columns in the first matrix is equal to the number of rows in the second matrix.

Based on the given matrices, we can see that:

The product of QM is not defined because the number of columns in Q (1) is not equal to the number of rows in M (2).

The product of NM is not defined because the number of columns in N (4) is not equal to the number of rows in M (2).

The product of LP is not defined because the number of columns in L (2) is not equal to the number of rows in P (1).

The product of LQ is defined because the number of columns in L (2) is equal to the number of rows in Q (1).

Therefore, the correct answer is:

Product is Defined Product is not Defined ________________ _________________ LQ QM, NM, LP

 

By the way, you should send CPhill messages.  He'll be happy to help you, just like he helped me!

 Aug 19, 2023

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