tind baves for the faw fundoarental Sues of thie matrix A as follows. NCA) = nullspore y a R(A) = colnan Spare of A Thin shaw that NEa) = R(A)t and MCA) = RCA)". 2 -3 3 NA) = NCAT). E}

Q: J PCAJ- 02 PC(B) = 0.6 nd PCA UB J-0,7, find PCAJ- 0.2 ,PCB) = 0.6 ,ond PCA UB)J=0,7,find and PCA…

A:

Q: If a vector (a) If AB, find a and B. (b) If ALB, find a and B. Ã=3ā¸+6ā„+ā₂and B = αã¸−2ケ ßā¸‚

A:

Q: Felse Deseribe all calutions of Aa. Vector form where the metrik belaw. You may vse Y and/01t as…

A: Every homogeneous system has at least one one solution. There are two equations and three unknown.…

Q: 3. Give an example of an orthonormal set with 4 non-trivial vectors in R5.

A: We have to solve given problem:

Q: 19. Which of the vectors (A)–(C) in Figure 22 is equivalent to v – w? (A) (B) (C) FIGURE 22

A: The vectors substraction: (v-w)

Q: 1. Given a vector a=(3, - 2, 2), the magnitude of a is and the normalized vector of a is_

A:

Q: 8. Let 1 2 +--+- () -- () ---(3) (:). at = and = 3 4 7 b3 (a) Find conditions on b₁,b2, b3 such that…

A:

Q: Let (3) 1 V = (b) Cosine of the angle between v onto w is also called the correlation between them…

A:

Q: 4) (From Hardcover Book, Marsden/Tromba, Vector Calculus, 6th ed., Section 1.5., # 24, or from your…

A: see below the answer and explanation

Q: 2. Let y and u = Write y as a sum of two orthogonal vectors, one in Span{u} and a vector orthogonal…

A: y and u are given to us and we need to write y as a sum of two orthogonal vectors such that one is…

Q: 8. Which of the following are orthonormal s 1 A = {U₁ = (₂0₁2), U₂=(2,0, B = { U₁ = (2,0, ₂2), U₂ =…

A:

Q: Only B and D

A: We will find out the required solution.

Q: Yi = Bot Biti tôi i=1,2,....n where ~ N(0, ²) as a general linear model (e) The hat matrix is…

A: Given that:A linear model isThe general linear model is To show:(e)  is symmetric and idempotent.(f)…

Q: 2. A = flnd det 'A), adj CA) and inverse mateix

A:

Q: 21. Determine if each vector equation represents the same line as l1 : [x, y] = [-3, 5] + {[1, –4].…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.