How do you find X+Z given #X=[(4,1), (-2,6)]# and #Y=[(0,-3)]# and #Z=[(-1,3), (0,-2)]#?

1 Answer
Steve M
Jan 19, 2017

# X + Z==[(3,4), (-2,4)]#

Explanation:

We add matrices by adding up each corresponding element;
# [(x_11,x_12), (x_21,x_22)] + [(y_11,y_12), (y_21,y_22)] = [(x_11+y_11,x_12+y_12), (x_21+y_21,x_22+y_22)]#

Hence:
#X=[(4,1), (-2,6)]# and #Z=[(-1,3), (0,-2)]# gives:

# X + Z=[(4+(-1),1+3), (-2+0,6+(-2))]=[(3,4), (-2,4)]#

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