Which of the following sets of vectors in R4 are linearly dependent? (a) (3, 8, 7, -3),

Question:

Which of the following sets of vectors in R4 are linearly dependent?
(a) (3, 8, 7, -3), (1, 5, 3, -1), (2, -1, 2, 6), (1, 4, 0, 3)
(b) (0, 0, 2, 2), (3, 3, 0, 0), (1, 1, 0, -1)

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0471669593

9th edition

Authors: Howard Anton, Chris Rorres

See More Books

Question Posted: Jun 17, 2016 08:05 AM

See More Questions

Which of the following sets of vectors in C3 are linearly independent? (a) u1 = (1 - i, 1, 0), u2 = (2, 1 + i, 0), u3 = (1 + i, i, 0) (b) u1 = (z, 0, 2 - i), u2 = (0, 1, i), u3 = (- i, - 1 - 4i, 3)
Which of the following sets of vectors are bases for R3? (a) (1, 0, 0), (2, 2, 0), (3, 3, 3) (b) (2, 3, 1), (4, 1, 1), (0, - 7, 1)
Which of the following sets of vectors are bases for (a) (2i, - i), (4i, 0) (b) (2 - 3i, i), (3 + 2i, - 1)
On 1 July 2018 Bear Ltd acquired 100 000 shares in Island Ltd at a price of $10 each. There were brokerage fees of $1500. The closing market price of Island Ltd shares on 30 June 2019which is the...
Before considering a net operating loss carry forward of $77 million, Fama Corporation reported $250 million of pretax accounting and taxable income in the current year. The income tax rate for all...
The following amounts appeared on Plymouth Electronics adjusted trial balance as of December 31, 2020. Required 1. Prepare a 2020 classified multiple-step income statement for Plymouth Electronics,...
The current price of gold is $\$ 412$ per ounce. The storage cost is $\$ 2$ per ounce per year, payable quarterly in advance. Assuming a constant interest rate of $9 \%$ compounded quarterly,...
On March 1, 2015, a company paid an $18,000 premium on a 36-month insurance policy for coverage beginning on that date. Refer to that policy and fill in the blanks in the following table. Balance...
(i) f(x)=x-5 (ii) f(x) Examine the following functions for continuity. 1 X-5 = 5x5 x-25 (iii) f(x) = x-5 (iv) f(x) = |x-5| x + 5
Oak wholly owns a material subsidiary, Birch. Birch has a material 30% interest in Willow. Oak also owns 40% of Beech, which is material to Oak. Birch is an IESBA Public Interest Entity audit client....
Use the Wronskian to show that the following sets of vectors are linearly independent. (a) 1, x, ex (b) sin x, cos x, x sin x
Assume that v1, v2, and v3 are vectors in R3 that have their initial points at the origin. In each part, determine whether the three vectors lie in a plane. v1 = (2, -2, 0) v2 = (6, 1, 4) v3 = (2, 0,...
Suppose that f (z) = x2 y2 2y + i(2x 2xy), where z = x + iy. Use the expressions (see Sec. 5) to write f(z) in terms of z, and simplify the result. z+7 , x= and y=T
A 13-year-old black female had a routine physical Option. Her CBC was normal, but the differential revealed many target cells Option. Hemoglobin electrophoresis revealed a band that migrated like HbS...
A Supermarket Megamerger Will Redefine What You Buy at the Grocery Store Kroger and Albertsons want to merge in a $20 billion deal. If antitrust regulators approve, the definition of a grocery store...
When sucking hard, we can reduce gauge pressure in lungs to -80 mmHg. Diet pop has a density of 10 3 kg/m 3 (essentially water). What is the max height that pop can be sucked up a straw?
In what ways does homozygosity influence the manifestation and severity of genetic disorders in individuals?
Title: Actavis - Allergan Merger 1) Perform a critical analysis of Actavis - Allergan Merger from financial point of view. Export the value of deal and whether it can be judged as justified (use...
In Problem for each polynomial function find the following: (A) Degree of the polynomial (B) All x intercepts (C) The y intercept f(x) = (x - 5) 2 (x + 7) 2
Rewrite the code of Figure 7.3 in Ada, Java, or C#. Figure 7.3: template class queue { item items [max_items]; int next_free, next_full, num_items; public: queue () : next_free (0), next_full(0),...
In Exercises 1 and 2, A, B, P, and D are n x n matrices. Mark each statement True or False. Justify each answer. 1. a. A is diagonalizable if A = PDP-l for some matrix D and some invertible matrix P....
A is a 5 x 5 matrix with two eigenvalues. One eigenspace is three-dimensional, and the other eigenspace is two-dimensional. Is A diagonalizable? Why?
A is a 3 x 3 matrix with two eigenvalues. Each eigenspace is one-dimensional. Is A diagonalizable? Why?
The table shows the numbers (in thousands) of alternative-fueled vehicles A in use in the United States from 1995 to 2011. (Source: U.S. Energy Information Administration) DATA Year Number of...
Two small electrified objects A and B are separated by 0.03 m, and repel each other with a force of 4.0x10^-5 N. If we move body A an additional 0.03 m away, what is the electric force now?
(a) Let ACS CR, and c A be a point. Suppose f: S R is continuous at c. Prove that the restriction f| is continuous at c. (b) Find an example of a function f : S R and a subset AC S such that | is...

Which of the following sets of vectors in R4 are linearly dependent? (a) (3, 8, 7, -3),

Question:

Step by Step Answer:

a Following the technique used in Example 4 we obtain the sys...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions