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EBK DIFFERENTIAL EQUATIONS AND LINEAR A
- Consider the matrices below. X=[1201],Y=[1032],Z=[3412],W=[3241] Find scalars a,b, and c such that W=aX+bY+cZ. Show that there do not exist scalars a and b such that Z=aX+bY. Show that if aX+bY+cZ=0, then a=b=c=0.arrow_forwardFor matrices X=[xyzw] and 0=[0000], find the matrix 0X.arrow_forwardExample S = {q1 = 2 + x + 4x², q2 = 1 - x + 3x², q3 = 3 + 2x + 5x²} a. Show that S is the basis for the polynomial space P2 b. Express q = 3-2x + 9x² as a linear combination of vectors in S c. Find the coordinate vector q relative to the base S or (q)sarrow_forward
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