Problem 7.2. (a) Given two vectors in R2 of coordinates (c-a, c2-a2) and (b1-a b2-a2), prove that they are linearly dependent iff 1 : |а1 b1 C1 а2 b2 С2 — 0. 1 1 (ь) Given three vectors in R3 of coordinates (dj—a1,dg-a2, dҙ — аз), (с1—ај, С2— а9, Сз —аз), and (b a b - a2, b3 - a3), prove that they linearly dependent iff are а1 bi C1 a2 b2 C2 d2 |аз бз Сз dз 1 d1 0. 1 1 1

Q: If three vectors vị, v2, V3 E R° are linearly dependent, then one of them must be a scalar multiple…

A: GIVEN THREE VECTORS v1, v2, v3 belongs to R^3 are linearly dependent

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A: To find- Calculate the first two vectors generated by the Jacobi method. -41013-10-15x = -6-67, x0 =…

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A:

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A: Let's find.

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Q: Express the vector v = -12 -28 as a linear combination of x = 2 [² and y= -1 -6

A: We can write the answer in the below steps.

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A:

Q: () - - (a + bt c+ dt) e *() -- () a (:) - (-) A d - c

A:

Q: 2 1 Find Q for the QR factorization of A = 0 -39 . given the orthogonal vectors -3 -13 -2 2 -6…

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Q: solve using the concept of rank.

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A:

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A: This question is related to vector. We will solve this question by using property of vector.

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Q: 3 The vectors u = -4 and v = -12 are linearly independent. 6.

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Q: 1 -1] 5 -4 2 1 -3 1 -2 -1 3 2 16

A:

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A: This can be evaluated as follows:

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A: According to our guidelines I solve only 1 question, so kindly request you to repost the remaining…

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Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.