Using a matrix to help you, write the polynomial 22-7-1 as a linear combination over R...

 

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Using a matrix to help you, write the polynomial 22-7-1 as a linear combination over R of the polynomials 2+x+2, 2x+x-8 and x +2z-4. (12 points) (a) Do the vectors 2 and span R4? Explain your answer. Describe all solutions to the system of equations x+2z+3w=5 y+w=4 x + 2y + 2z+5w = 13 2x - 2y + 4z +4w = 2 Consider the system of equations x+2y+3z = 5 315 Using a matrix to help you, write the polynomial 22-7-1 as a linear combination over R of the polynomials 2+x+2, 2x+x-8 and x +2z-4. (12 points) (a) Do the vectors 2 and span R4? Explain your answer. Describe all solutions to the system of equations x+2z+3w=5 y+w=4 x + 2y + 2z+5w = 13 2x - 2y + 4z +4w = 2 Consider the system of equations x+2y+3z = 5 315