Question: By locating the pivots, find a basis for the column space of 0 5 4 3 0021 0000 0000 U= Express each column that

By locating the pivots, find a basis for the column space of

By locating the pivots, find a basis for the column space of 0 5 4 3 0021 0000 0000 U= Express each column that is not in the basis as a combination of the basic columns. Find also a matrix A with this echelon form U, but a different column space.

Step by Step Solution

★★★★★

3.46 Rating (162 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

GLO301 - Based on Problem 3-5A (Algo) LO P3, P4 Drake Company manufactures toccer balls in two sequential processes Cutting and Stching. All direct materials enter production at the beginning of the...

Find a subset of the given vectors V1 = (1, -1, 5, 2), v2 = (-2,3, 1,0), V4 = (0, 4, 2, 3), U5 = (-7, 18, 2, 8) V3 = (4, 5, 9, 4), %3D that form a basis for the space spanned by these vectors, and...

Let A be a 4 4 matrix and let U be its row echelon form. (a) Suppose columns 1, 2. 4 of U form a basis for its range. Do columns 1, 2,4 of A form a basis for its range? If so. explain why; if not,...

A matrix A and an echelon form of A are shown below. Find a basis for Col A and a basis for Nul A. A = Find a basis for Col A. 3 6 12-15 7 15 31-42 3 8 18-29 - 16 3 6 15 2 3 7 3 8 (Simplify your...

By locating the pivots find a basis for the column space of 0 5 4 3 0021 0000 00 U

ns of Your weekly cost (in dollars) to manufacture x cars and y trucks is Z=C(x,y)=240000+6000x +4000y - 0.1xy2

THE UNIVERSITY OF NEW SOUTH WALES SCHOOL OF MATHEMATICS AND STATISTICS JUNE 2015 MATH2501 Linear Algebra (1) TIME ALLOWED - THREE HOURS. (2) TOTAL NUMBER OF QUESTIONS - 5 (3) ANSWER ALL QUESTIONS (4)...

Problem #1: Let V be the set of all ordered pairs of real numbers (111, 142) with 142 > 0. Consider the following addition and scalar multiplication operations on u : (ul, H2) and v : (v1, v2): 11 +...

Need it as soon as possible. Thanks Solve the problem. ON 44) Find all values of h such that y will be in the subspace of R3 spanned by v1, v2, v3 if v1 = AND D) a w OHON A) h = -12 or 0 B) h =-12 -...

1 0 3 5 0 3 t] 9 15 0 _ _ . . Let A = 0 2 5 8 2 . Find a basis for the row space of A, a baSIS for the column space of A, a basis for the 0 1 3 4 1 1 0 3 5 0 . _ 0 1 3 4 0 null space cfA, the rank of...

Please help me with the following questions. 1. The orthonormal basis of the subspace spanned by the vectors is {} (Use a comma to separate vectors as needed.) 13 The vectors v, = -6 and v2 = 2 form...

Describe the purposes of the accounting system.

Recording Treasury Stock Transactions. On January 2, 2020, Liberty Corporation was authorized to issue 200,000 shares of $5 par value common stock. Liberty issued 40,000 shares of common stock on...

11.15 In the circuit of Fig. 11.46, find the value of Z L that will absorb the maximum power and the value of the maximum power. 192 -/10 + 12/0 V Vo /192 2V ZL

In what ways does the timeliness of the publication of financial information differ across countries?

Find the future values of the following ordinary annuities: a. FV of $400 paid each 6 months for 5 years at a nominal rate of 12% compounded semiannually b. FV of $200 paid each 3 months for 5 years...

How might differences in the extent to which countries apply the accounting concept of conservatism (some countries are more conservative than others) affect profit margins, debt-to-equity ratios,...

A die is tossed. Let x be the number of spots observed on the upturned face of the die. a. Find the probability distribution of x and display it in tabular form. b. Display the probability...

On January 1, 2014, Lands End Construction purchased a used truck for $37,500. A new motor had to be installed to get the truck in good working order; the costs were $13,500 for the motor and $6,750...

(2 points) Suppose that the nonhomogeneous linear differential equation y''-7y'+12y=2e2x has a complementary function yc(x)=c1e3x+c2e4x and a particular solution yp(x)=e2x.Find a solution that...

Suppose that A is an m n matrix and B is an n n nonsingular matrix. Prove that the column space of A is equal to the column space of AB, that is C(A) = C(AB).

Does every subspace have a complement?

(a) The proof that a map that is distance-preserving and sends the zero vector to itself incidentally shows that such a map is one-to-one and onto (the point in the domain determined by d0, d1, and...

=+a. Disregarding leap year and assuming that the other 365 days are equally likely, what is the probability that three randomly selected births all occur on March 11? Be sure to indicate what, if...

=+d. Explain how you would use the information in part (c) to calculate the probability of a common birth date.

=+b. What is Pd(2c ) when 5 4?