Let 2 z, and Z2 = %3D ) show {2, ,2z} that or thonormal c's an set in O Write the rector as a 2 = - 2 i combenation or z, and 22. linear

Q: Determine whether the set in P_2 is linearly independent.    S={x^2 , +1, 2 - 1, 2}

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Q: Show that R2 =

A: Then, V =Span(S), if every vector in V can be written as a linear combination of elements of S.

Q: b. Show that if f: A-> B is a bijection then |A| = |B| %3D c. Show that f:25 25 given by f(A) = S -…

A: Aa per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: ✓1.22 Represent each linear map with respect to each pair of bases. (a) d/dx: Pn → Pn with respect…

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Q: Let v1 =[1,4,-2] , v2 =[-2,-3,7] , b =[4,1,h] FIND all value(s) h such that b is in span{v1 , v2 }

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Q: Let vị = V2 = V3 V4 and -[1} Confirm that p = V1 +v2 + ¿v3 + ¿V4 and vị – V2 + V3 – V4 = 0. Jse the…

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Q: Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ = 25

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Q: 4) Let a = (-3, 0, -4) and 5 = (-3, 3, 1). Find the projection of b onto a.

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Q: Let x(bar) = (3,-5,2,1,-2) element of R5. Find the norm of x(bar) using the usual norm on R5

A: The norm of x is the distance between a point x to the origin.

Q: and n 12/22 -42 Z+6z Z722+2 2ナ z2, 4z+3

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Q: Q) Let A be diagonalizable so that P-1AP = D. Show that A2 must be diagonalizable.

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Q: Let X₁ = [1 3 −1 1]²‚×₂ = [3 −1 3 1]′, and x3 = [-1 2 −3 1]. Is b = T an element of span{X₁, X₂,…

A: No, we can write it.

Q: Let a = (-3, 0, 4) and 6 = (0,4,-4). Find the projection of 5 onto ā. proj₁ = 25

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