5. Is the following set of polynomials linearly independent in P3? Explain your work. 1+ 2t*, 2 +t – 3t2, -t + 2t? – t3 [a b 6. Let H be a subspace of M2x2 whose vectors are of the form Then, B = с 0...

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5. Is the following set of polynomials linearly independent in P3? Explain your work.<br>1+ 2t*, 2 +t – 3t2, -t + 2t? – t3<br>[a b<br>6. Let H be a subspace of M2x2 whose vectors are of the form<br>Then, B =<br>с 0<br>1<br>[2<br>is a basis for H.<br>1 0<br>7<br>Find the coordinate vector of v =<br>|<br>according to the basis, B.<br>

Extracted text: 5. Is the following set of polynomials linearly independent in P3? Explain your work. 1+ 2t*, 2 +t – 3t2, -t + 2t? – t3 [a b 6. Let H be a subspace of M2x2 whose vectors are of the form Then, B = с 0 1 [2 is a basis for H. 1 0 7 Find the coordinate vector of v = | according to the basis, B.

Jun 05, 2022

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5. Is the following set of polynomials linearly independent in P3? Explain your work. 1+ 2t*, 2 +t – 3t2, -t + 2t? – t3 [a b 6. Let H be a subspace of M2x2 whose vectors are of the form Then, B = с 0...

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