Let S = i. ii. iv. [2s- - S s,te R t Inter} -S Show that S is a subspace of R4 Find two vectors that span S Are the two vectors from (ii) linearly independent? Is S = R¹?

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A: algorithm for the given problem is below...

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A: Step 1: Step 2: Step 3: Step 4:

Q: 0-0-0 2. 11 S = { %3D linearly dependent or linearly independent?

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Distance = 4.41

Q: = ---- -2 8 span of v₁ and v₂? Let V₁ = and y = -5 -3 For what value(s) of h is the vector y in the

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Q: or space of all (2 × 2)-matrices. The trace tr( al elements, i.e. the base b tr (ad). =a+d. 0 ₂ -…

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Q: 24. Find Zy. All dimensions are in inches. 0.120 0.625 DIA 0.945 Zy

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

A: Given, A=( 1,1,0 ); B=( -2,3,-4 ); P=( -3,1,6 )To find: Distance from point P to the line through A…

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Q: 1 Find two vectors of norm 1 that are orthogonal to the vectors u = and v = 3

A: Given problem is :

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Q: Q1. Construct an orthogonal set of vectors from the following vectors: X1 = k,X2 ,X3 %3D 14]

A: Use the usual inner product in the vectors and Gramm-smidth orthogonalisation process.

Q: -2 - [109]. V. 6 Let V1 dependent. Upload Choose a File -3 V2 = 20 k Find the values of k for which…

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Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from…

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