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# Suppose that: Given the following descriptions, determine the following elementary matrices

and their inverses.

WeBWork : MATH_204_FA| X
lecture note 4.pdf
* Homework Help - Q&amp;A fro X
Transpose of a matrix proc X
C The 2 x 2 Elementary Matr X
C (1 Point) The 2 x 2 Elemen X
+
X
A https://webwork.concordia.ca/webwork2/MATH_204_FALL_2019/Assignment_3/6/?user=Y_MEIJIA&amp;effectiveUser=Y_MEIJIA&amp;key=c72vJ4a2Qfj04wUrT74yPACsP3pfrhqH&amp;
8 ...
4 9
E
(1 point) Suppose that:
Problem
3 - 1
13 5
Problem 1
A =
and B =
Problem 2
3-3
-1-3-1
Problem 3
- 24 3
Problem 4
Given the following descriptions, determine the following elementary matrices and their inverses.
Problem 5
Problem 6
a. The elementary matrix E1 multiplies the first row of A by 1/6.
Problem 7
Problem 8
E1 =
Problem 9
Problem 10
b. The elementary matrix 2 multiplies the second row of A by -4.
E2 =
E, 1 =
c. The elementary matrix E3 switches the first and second rows of A.
Es =
d. The elementary matrix 4 adds 5 times the first row of A to the second row of A.
EA =
e. The elementary matrix Es multiplies the second row of B by 1/5.
Es =
E5
f. The elementary matrix _6 multiplies the third row of B by -6.
E6 =
O
16:36
2019/10/1

WeBWork : MATH_204_FA X
lecture note 4.pdf
* Homework Help - Q&amp;A fro X
Transpose of a matrix proc X
C The 2 x 2 Elementary Matr X
C (1 Point) The 2 x 2 Elemen X
+
X
A https://webwork.concordia.ca/webwork2/MATH_204_FALL_2019/Assignment_3/6/?user=Y_MEIJIA&amp;effectiveUser=Y_MEIJIA&amp;key=c72vJ4a2Qfj04wUrT74yPACsP3pfrhqH&amp;
8 ...
4 9
E
E2 =
c. The elementary matrix E3 switches the first and second rows of A.
E3 =
d. The elementary matrix E4 adds 5 times the first row of A to the second row of A.
EA =
e. The elementary matrix Es multiplies the second row of B by 1/5.
Es =
E5 1
f. The elementary matrix E6 multiplies the third row of B by -6.
E6 =
E6
g. The elementary matrix E7 switches the first and third rows of B.
E7 =
E,1
h. The elementary matrix Es adds 3 times the third row of B to the second row of B.
Es =
O
16:36
2019/10/1

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