Khadija Wells

2020-12-07

Let

a)Find elementary matrices

b)Show that is no elementary matrix E such that

mhalmantus

Skilled2020-12-08Added 105 answers

Step 1

Consider the given information,

a)

now, calculate the elementary matrices.

The matrix C can be be calculated by A by the following operations.

Step 2

Interchange the Rows of the matrix A. Then,

Now, multiply -1 in the row one and add in second.

Then the elementary matrix are defined as,

And

Step 3

(b) It can be observed from part a. A and C lines above are equivalent. However, none of the 2 matrices A and C can be changed to another by a single row operation. Hence there is no primary matrix E such that

Jeffrey Jordon

Expert2022-01-27Added 2607 answers

Answer is given below (on video)

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