Class Notes (807,726)
MATH 0110 (2)
batty (2)
Lecture 3

MATH 0110 Lecture 3: OPERATIONS BETWEEN MATRICES

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School
Department
Mathematics and Statistics
Course
MATH 0110
Professor
batty
Semester
Fall

Description
OPERATIONS BETWEEN MATRICES ADD AND SUBTRACT Two matrices A and B can be added or subtracted only if they have the same size as:  a11 a 12 ... a 1n   b11 b12 ... b 1n   a a ... a   b b ... b   21 22 2n   21 22 2n   . . . .   . . . .  If A    B     . . . .   . . . .      . . . . . . . . a m1 am2 ... a mn  b m1 b m2 ... b mn  and then:  a  b a b ... a  b   11 11 12 12 1n 1n   a21 b 21 a 22b 22 ... a 2n b2n   . . . .  A B   . . . .     . . . .  a m1 bm1 am2 b m2 ... a mn bmn  MULTIPLICATION BY A SCALE If  a11 a12 ... a 1n    a 21 a22 ... a 2n   . . . .  A     . . . .   . . . .  a a ... a   m1 m2 mn  and c scale , then ca ca ... ca  11 12 1n ca21 ca22 ... ca 2n  . . . .  cA   . . . .   
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