[a, b, c If Aj = [di e, fi] [a, b2 c2 A2 = [d2 e2 a3 bz c3 Az = [d3 ez f3] and are any 2 x 3 matrices, and k and h are real numbers, show that: k (h A3) = (kh) A3 k (A1 + A2) = k Aj + k A, %3D

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.6: Rank Of A Matrix And Systems Of Linear Equations
Problem 77E: Let A and B be square matrices of order n satisfying, Ax=Bx for all x in all Rn. a Find the rank and...
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Matrix Operations

[a, b, ci]
[a2 b2 c2]
A, =
[d2 e2 ]
a3 bz C3
Az =
If A =
and
are any 2 x 3 matrices, and k and h are
[d, e fi]
[d3 ez f3]
real numbers, show that:
k (h Az) = (kh) A3
k (A, + A2) = k Aj +k A,
Transcribed Image Text:[a, b, ci] [a2 b2 c2] A, = [d2 e2 ] a3 bz C3 Az = If A = and are any 2 x 3 matrices, and k and h are [d, e fi] [d3 ez f3] real numbers, show that: k (h Az) = (kh) A3 k (A, + A2) = k Aj +k A,
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