LINEAR ALGEBRA ASSIGNMENT #1

Solve these systems if possible.

1) 2x + 3y – z = 6	2) x + y – z = 1
– 4x + z = 7	x + z = 0
y – 2z = 1

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3) x + y = 1	4) 2x + y = 1
y + 3z = 4	x – y = 0
x + 2y + 3z = 6

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FIND:

a) 3A

b) A – B

c) 2A + 3B

d) AB

e) BA

f) At + Bt

g) AtBt

h) BtAt.

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6) Write the following systems of linear equations as Matrix equations (AX = B)

a) 2x – y = –3	b) x – z = 3	c) x – y + z = 1
6x + 7y = 5	2x + 3y – 7z = –2	2x + 3y + 4z = 13
		–x – y – 3z = –12

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7) Reduce matrix A to reduced row-echelon form without introducing any fractions.

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Solutions

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