E 2=-1,2= 1,2=6 2. If {9₁,92,93} is an orthonormal basis for R' find 9, +9₂ +49,||² A √18 B 4 C √6 D 18 E 6

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A: Given the vectors 01-21, 31-10, 2151. To find the bases for the spans of the given vectors. The…

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Q: Let W = } t s,t e R -S - 31 5) Show that -6 is in W+. 3 6) Find a basis for W+.

A: given W=s+3tt-s-t  , s t ∈R

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A: Let V=ℝ2. Identify the basis of ℝ2.

Q: Explain why S is not a basis for P2.S = {1, 2x, −4 + x2, 5x}

A: Explain why S is not a basis for P2.S = {1, 2x, −4 + x2, 5x}

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Q: } 4. You are given that B = {1– 2x + x?, x+ x?, 2 +x – a?} is a basis for P2. (i) Find the…

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Q: YQ12) Determine Eigen values and corresponding inverse of matrix for the following matrices: -1 1 -2…

A: Ans:-  We have to determine eigen values and      corresponding inverse of matrix.1  A=5-15020-53-15…

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Q: TRANSCRIBE THE FOLLOWING TEXT IN DIGITAL FORMAT

A: Given that

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Q: Which one of the following is an orthonormal basis of R³? 1 {]--]} {B}. √3 √2 3 {]···]} √2 2 √6 0 /6…

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Q: | Lat T: R R, and S: R + R", *+: a) Find (So 7] and (T o S). (b) Find a basis for the keruel of So7…

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A:

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Q: За + 6b — с ба — 26 — 2с - Find a basis for H = : а, b, с €R -9a + 56 + 3c | -3a + b+ c

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Q: V1 || The vectors 2 -5 O " V₂ = -5 2 7 form a basis for R³ if and only if k# and V3 = -16 -2 B k

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Q: Find a basis for the column space of A

A: Column space of A = Span of columns of A = set of linear combination of the columns of A

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Q: 0555 if A = 0 0 0 0 then the basis fqf 0 205 N(A") is 1 .a Hạmmad Selawe .b كواے 1 .c 0.

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Q: The set B = {2+ 2x², 4 − 3x + 4x², 19 − 9x + 18x²} is a basis for P₂. Find the coordinates of p(x) =…

A: Given Basis: B=2+2x2, 4-3x+4x2, 19-9x+18x2. To find: Find the coordinate of px=84-39x+80x2 relative…

Q: [3 – 5i 2+41. L6 + 7i 1+8i! find the conjugate of its transpose. Given A =

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Q: [4 5 9-21 1. Consider A = 6 5 1 12 3 4 8 -3 (a) What is Nul A? (b) Find a basis for Nul A. (c) What…

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Q: -2 5 -3 1 1 2. Let S = 5 -1 7 Find an orthonormal basis for the space spanned by the -3 -2 -10 -1…

A: Given matrix is: S=-25-3110-175-3-2055-10-1