-5 15 -4 12 Let A = -3 9. 4 -12 Find k such that Nul(A) is a subspace of R* Find k such that Col(A) is a subspace of R* Let B = -3 -7 -5 4 Find k such that Row(B) is a subspace of IR Find k such that Nul(B) is a subspace of R* 9 1 0 10 2 Let C = 0 2 9 2 9 1 Find k such that Col(C) is a subspace of R* Find k such that Row(C) is a subspace of R*

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A: A is a 8×6 matrix We use Rank -Nullity Theorem If A is matrix m×n⇒rankA+nullityA=n

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Q: (a) Let A = 2-4 -2 4 2-4 -36 Then: Null(A) is a subspace of R* where k = Col(A) is a subspace of R*…

A: According to guidelines , We solve only (a)

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Q: QUESTION 5: The subspace of P, spanned by the polynomials 1+x+x², x+x²+x³, 1+x²+x³, 3 and 1+x+x³ has…

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Q: Draw this figure to show the subspaces for A = [3²] & B = [38] Rn row space of A nullspace of A…

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A: The given vector is v=5-19-6-6. The given subspace W of ℝ4 is spanned by 3413,4-2-40. We know that…

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A: Please see the below picture for detailed solution.

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A: Givenv→=34-55and let s1→=52-61 and s2→=0734The formula of orthogonal projection of v onto span of s1…

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Q: 4 11 5 -7 -97 0 1 4 11 5 -7 -97 6. is row equivalent to B= 5 -2 -4 2 4 3 3 3. If A= -1 1 find bases…

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Q: ܩ ܘ ܟܙ ܗ ܘ ܘ ܗ ܘ ܪ ܝ ܗ ܐ ܩ ܝ ܗ -2 "Let A

A: image is not properly clear

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A: Given: The set of all 2×2 matrices of the form I2×2--100x where x is any real number, is a subspace…