Question

Consider the matrices below.
(a) Find scalars a and b such that Z = aX + bY.
(b) Show that there do not exist scalars a and b such that W = aX + bY.
(c) Show that if aX+bY+cW= O, then a = 0, b = 0, and c = 0.
(d) Find scalars a, b, and c, not all equal to zero, such that aX + bY + cZ = O.

|X = | 0
Y :
Y = | 1
-1
W = |1
3
Expand
Transcribed Image Text

|X = | 0 Y : Y = | 1 -1 W = |1 3

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