Question: QUESTION 8 (12 MARKS) a) Can (3, -1, 4) be written as a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5,

QUESTION 8 (12 MARKS) a) Can (3, -1, 4) be written as a linear combination of (1, -1, 0), (0, 1, 1) and (3, -5, -2)? (5 marks) Justify your answer. b) Does (3, -1, 4) spans {(1, -1, 0), (0, 1, 1), (3, -5, -2)} ? Justify your answer. (2 marks)

Step by Step Solution

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!

\f[10 marks] 5. Find a linear approximation in each case and use it to approximate the number. Give your answer as a fraction. (5 marks) a. V 39999 (5 marks) b. tan 46 [18 marks] 7. Find the absolute...

(c) Is {v, 12. v) a basis for! Mount Holyoke College, Massachusetts, USA Can the vector (3, 1, 1) be expressed as a linear combination of the vectors (2, 5, -1), (1, 6, 0), (5, 2, -4)? Justify your...

E c Wrap lext General Calibri BIU-B - 12 AAL .A Merge & Center. $ % 8 % Conditional Format as Cell Formatting Table Styles Styles Alignment Font Number Clipboard f Interest Expense 15 - X V A B 1...

Question 7 [8 marks] Management at the 'Nic Nut' snack company has found that the time spent commuting from home to work for all its employees has a skewed distribution with a mean of 42 minutes and...

Question 8: (12 Marks) Forty-Niner Co purchased a computer for $325,000 on January 2, 2017. The company expects the computer to last for 8 years or 15,000 hours of operation, with an estimated...

l D 2 2- {12 marks] Let A. = 1 -1 4 . It isknmvn that 1 and 1 math; only Eigenvalues I] D l of A. {a} {3 marks] Find A\". Show your work. 1 {b} {2 marks) Shaw that 2 is an eigeuwactur of A. {l {c} {3...

Question 8 (12 marks) DEF Ltd is considering whether it should invest in Project Y. To invest in this project, a machine is required to be purchased at $100,000, in which the full cost has to be paid...

Question 8 (12 marks) Consider the function T : P2 > 'P3 given by Let B : {1,33,322} be the ordered standard basis of P2. Let C = {2, %$, 3222,5133 2} be an ordered basis of 'P3. a Prove that T is a...

12:13 1. Micro Winter 2021 - Saved O E . . . Question 3 (Marks 12) a. The following graph shows the demand curve for cell phon 40 A 30 .... B 20 ........j..... 10 -. ... ...... ..... Q 10 15 20 = i....

please show all work all rought work as well Question 8 (12 marks) A manager must decide which type of machine to buy: A, B or C. Machine fixed costs are: Machine A B C Cost/year $50,000 $60,000...

Lee repairs high-speed looms for Sew Corp., a clothing manufacturer. Which of the following circumstances best indicates that Lee is an employee of Sew and not an independent contractor? Lees work is...

Roberts Co. provides the following information regarding its units of production: 1,000 units in ending work in process, one third complete, on June 30. 47,000 units started in production during...

Who must pay for the cost of a medical examination required in the process of underwriting? A Department of insurance B . Applicant C . Underwithers D . Insurer

Under its executive stock option plan, National Corporation granted 25 million options on January 1, 2021, that permit executives to purchase 25 million of the companys $1 par common shares within...