Question

(1 point) Let Ps be the vector space of all polynomials of degree at most 3, and consider the subspace 11 = {r(z) e Pal p(1) = 0} of P3 a A basis for the subspace H is { 22x+12x^2-x-1 Enter your answer as a comma separated list of polynomials. b. The dimension of His 3 (1 point) Find a basis for the space of symmetric 2 x 2-matrices If you need fewer basis elements than there are blanks provided, fill the unnecessary blanks with zeros. (Don't leave them empty, because this will be marked as incorrect). Basis = The dimension of this space is 4 (1 point) Find a basis for the space of lower triangular 2 x 2-matrices. If you need fewer basis elements than there are blanks provided, fill the unnecessary blanks with zeros. (Don't leave them empty, because this will be marked as incorrect). IE The dimension of this space is

Answer 1

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b CJ2x2 2x2 uppo tsiang.lan rotsices let AE-Nexa and A = + b Doe linear indlo pendent because i aot a D Hince basis of M2x2 ane dimansion of 22 is 3