M MATH301: Linear Algebra-202 xcourses.nu.edu.egLA2021_NU_HW3.pdf5. If A 3 X8 Matrix A Has Ran xAnswered: Ind. Dep. Var. Var+O File C:/Users/compu%20city/Downloads/LA2021_NU_HW3.pdfI Apps E Python Course .E Reading listLA2021_NU_HW3.pdf1 / 1|+ |100%c) If A is a 5 x 4 matrix, what is the largest possible dimension of therow space of A? If A is a 4 × 5 matrix, what is the largest possibledimension of the row space of A? ExplainQ2) Find the coordinate vector [x]R of x relative to the basis B={b1, b2}:X =Q3) Use the inner product < p, q >= a,bo + a,b, + azb2 to find <p,q >, llp||, d(p,q), and then find the angle between them for thepolynomials in P2 if p(x) = 1 – x + x², and q(x) = x – 3x².Q4) For the following functions f(x) = e*,g(x) = e-* in C[-1,1],find < f,g >,||f ||, d(f, g), and then find the angle between them forthe inner product.< f,g> =f(x) g(x) dxQ5) Let W be the subspace spanned by the u's. Show that {u,u2} is anorthogonal set of vectors then write y as a sum of a vector in W and avector orthogonal to W.y = (-1,4,3)', u, = (1,1,1)", uz = (-1,3,–2)8:03 PM) ENG8/21/2021

Q1.c A is a 5×4 matrix A=a11a12a13a14a21a22a23a24a31a32a33a34a41a42a43a44a51a52a53a54 Row space…

c) If A is a 5 x 4 matrix, what is the largest possible dimension of the row space of A? If A is a 4 x 5 matrix, what is the largest possible dimension of the row space of A? Explain Q2) Find the coordinate vector [x]g of x relative to the basis B={b1, b2}: bị = [7].b, = [],x = [ Q3) Use the inner product < p,q >= a,bo + a,b̟ + azbz to find < p,q >,llp||, d(p, q), and then find the angle between them for the polynomials in P2 if p(x) = 1 – x + x², and q(x) = x – 3x². Q4) For the following functions f(x) = e*,g(x) = e¬* in C[-1,1), find < f,g >,|\f|I, d(f,g), and then find the angle between them for the inner product. (x) dx Q5) Let W be the subspace spanned by the u's. Show that {u,,Uz} is an orthogonal set of vectors then write y as a sum of a vector in W and a vector orthogonal to W. y = (-1,4,3)',u, = (1,1,1)', uz = (-1,3,–2)'

c) If A is a 5 x 4 matrix, what is the largest possible dimension of the row space of A? If A is a 4 x 5 matrix, what is the largest possible dimension of the row space of A? Explain Q2) Find the coordinate vector [x]g of x relative to the basis B={b1, b2}: bị = [7].b, = [],x = [ Q3) Use the inner product < p,q >= a,bo + a,b̟ + azbz to find < p,q >,llp||, d(p, q), and then find the angle between them for the polynomials in P2 if p(x) = 1 – x + x², and q(x) = x – 3x². Q4) For the following functions f(x) = e,g(x) = e¬ in C[-1,1), find < f,g >,|\f|I, d(f,g), and then find the angle between them for the inner product. (x) dx Q5) Let W be the subspace spanned by the u's. Show that {u,,Uz} is an orthogonal set of vectors then write y as a sum of a vector in W and a vector orthogonal to W. y = (-1,4,3)',u, = (1,1,1)', uz = (-1,3,–2)'

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Concept explainers

Linear Algebra

In mathematics, problems can be solved by the arithmetic operators like addition, subtraction, multiplication, and division. In algebra, we represent the numbers by any letter called a variable. If these variables are of degree 1, then it is studied under linear algebra. The first-degree equations involving algebraic expressions are called linear equations. That is, if you represent it by drawing a graph you will get a straight line.

Question

M MATH301: Linear Algebra-202 x
courses.nu.edu.eg
LA2021_NU_HW3.pdf
5. If A 3 X8 Matrix A Has Ran x
Answered: Ind. Dep. Var. Var
+
O File C:/Users/compu%20city/Downloads/LA2021_NU_HW3.pdf
I Apps E Python Course .
E Reading list
LA2021_NU_HW3.pdf
1 / 1|
+ |
100%
c) If A is a 5 x 4 matrix, what is the largest possible dimension of the
row space of A? If A is a 4 × 5 matrix, what is the largest possible
dimension of the row space of A? Explain
Q2) Find the coordinate vector [x]R of x relative to the basis B={b1, b2}:
X =
Q3) Use the inner product < p, q >= a,bo + a,b, + azb2 to find <
p,q >, llp||, d(p,q), and then find the angle between them for the
polynomials in P2 if p(x) = 1 – x + x², and q(x) = x – 3x².
Q4) For the following functions f(x) = e*,g(x) = e-* in C[-1,1],
find < f,g >,||f ||, d(f, g), and then find the angle between them for
the inner product.
< f,g> =
f(x) g(x) dx
Q5) Let W be the subspace spanned by the u's. Show that {u,u2} is an
orthogonal set of vectors then write y as a sum of a vector in W and a
vector orthogonal to W.
y = (-1,4,3)', u, = (1,1,1)", uz = (-1,3,–2)
8:03 PM
) ENG
8/21/2021

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