Consider the matrix distributive property. (c + d)A = CA + dA, where A is a matrix and c and d are scalars Which of the following proves this property? Let A = O (c + d)A = (c + d) + d)i = CA + dA O (+ + )A = ([c] + [•»])- - ME+ L = CA + dA O (c + d)A = (c + d) = CA + dA = = O (* + )A - ([) • [«„])[J - ] • [e] - [@J • [dou] - ca + dA O (+ + )A = (c + o{a] = [c + ama] = [(• + a;) · (d + a;)) = (--] + [da] = c[a] + «[ = = = CA + dA

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9.
Consider the matrix distributive property.
(c + d)A = CA + dA, where A is a matrix and c and d are scalars
Which of the following proves this property? Let A =
/ - [( + dha] - [a, + a) - [c] + [do] - c[»d] + ¢[, -
O (c + d)A = (c + d)
= CA + dA
=
O (c + d)A =
a; = CA + dA
+
+
=
O (c + d)A = (c + d)
= CA + dA
=
O (+ + )A = () • [4))[-) = [7] + [<#»] = [=] + [da;]
O (+ + O)A = (e + a)[0] = [c+ cha;] = [(c + a;) • (d + a;)) = (-a,) + [dag] = <{•,] + «[-]
= CA + dA
= CA + dA
Transcribed Image Text:Consider the matrix distributive property. (c + d)A = CA + dA, where A is a matrix and c and d are scalars Which of the following proves this property? Let A = / - [( + dha] - [a, + a) - [c] + [do] - c[»d] + ¢[, - O (c + d)A = (c + d) = CA + dA = O (c + d)A = a; = CA + dA + + = O (c + d)A = (c + d) = CA + dA = O (+ + )A = () • [4))[-) = [7] + [<#»] = [=] + [da;] O (+ + O)A = (e + a)[0] = [c+ cha;] = [(c + a;) • (d + a;)) = (-a,) + [dag] = <{•,] + «[-] = CA + dA = CA + dA
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