a) Detemine whether this set of vectors is orthogonal? Q. No. 3 -2 8. 4 1 b) Detemine if the following systemis consistent? x2 - 4x3 = 8 2х, — 3х, + 2х, — 1 5x, - 8x2 + 7x3 = 1 c) Let R? have the...


a) Detemine whether this set of vectors is orthogonal?<br>Q. No. 3<br>-2<br>8.<br>4 1<br>b) Detemine if the following systemis consistent?<br>x2 - 4x3 = 8<br>2х, — 3х, + 2х, — 1<br>5x, - 8x2 + 7x3 = 1<br>c) Let R? have the weighted Euclidean inner product,<br>< u, v > = 2u, v, + 3uzv2,<br>and let u = (1,1),v = (3,2), w = (0,1) andk = 3.<br>Compute the following quantities,<br>(1). < u, v >, (ii). < kv, w >, (iii). < u + v, w >.<br>d) Detemine if b is a linear combination of a,, az<br>and az?<br>[0]<br>ass<br>b =<br>8<br>

Extracted text: a) Detemine whether this set of vectors is orthogonal? Q. No. 3 -2 8. 4 1 b) Detemine if the following systemis consistent? x2 - 4x3 = 8 2х, — 3х, + 2х, — 1 5x, - 8x2 + 7x3 = 1 c) Let R? have the weighted Euclidean inner product, < u,="" v=""> = 2u, v, + 3uzv2, and let u = (1,1),v = (3,2), w = (0,1) andk = 3. Compute the following quantities, (1). < u,="" v="">, (ii). < kv,="" w="">, (iii). < u="" +="" v,="" w="">. d) Detemine if b is a linear combination of a,, az and az? [0] ass b = 8

Jun 04, 2022
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