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.

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Algebra

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