Question: Write vector b as a linear combination of the vectors in S, 7 1 2 4 where b : 7 , and S: 2 ,

Write vector b as a linear combination of the vectors in S, 7 1 2 4 where b : 7 , and S: 2 , 5 , 4 7 1 5 1 Are both B = and C a basis for R2 ? O No, neither B nor C is a basis of R2 . O Yes, both B and C are bases of R2 . O No, B is not basis of R , but C' is. O No, C is not basis of R2 , but B is.Are both B =2 3 } and C a basis for R2 ? O Yes, B and C are bases of R2 . O No, neither B nor C is a basis of R2 . O No, B is not a basis of R2 ,but C' is. O No, C is not a basis of R2 , but B is

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!

Determine if b is a linear combination of the vectors formed from the columns of the matrix A. Choose the correct answer below. A = 1 - 5 0 3 2 - 10 - 2 4 3 b = 13 - 6 7 O A. Vector b is not a linear...

Determine if b is a linear combination of the vectors formed from the columns of the matrix A. A = 0 6 b= -2 8 10 . . ... Choose the correct answer below O A. Vector b is a linear combination of the...

Problem 1 (vector addition). In the following Figure 1, write the vector b as a linear combination of the vectors u and v. -2 Figure 1: vector addition. 2 Z

In Problems 2528, express the vector t as a linear combination of the vectors u, v, and w. t = (2 , -7 , 9) , u = (1 , -2 , 2) , v = (3 , 0 , 1) , w = (1 , -1 , 2)

Determine if b is a linear combination of a 1 , a 2 , and a 3 . a = 1 -2 2 a = , 0 5 5 , 2 -5 = [B]. [] 0 b= 11 8 -7

Please help by answering on paper, Thank you in advance Properties of Vector Addition 1. Commutative Property of Addition: a + b = b + a 2. Associative Property of Addition: (a + b) + 7 = 7 + (b + ?)...

both questions are from "Vector Equation of a Plane" lesson. pls help. pls also write it on paper as it's easier to understand. 6. The plane with the equation r = (1,2,3) + s(1,2,5) + t(1, -1,3),...

From "Vector Equation of a Plane" lesson. Please write it on paper as it's easier to understand. 6. The plane with the equation r = (1,2,3) + s(1,2,5) + t(1, -1,3), where s, te R intersects the y and...

10 Determine if bis in combination of the vectors formed from the columns of the matte 6 b AO 2 - 12 5 ca Choose the corner below DA Vector is not a linear combination of the vectors formed from the...

following questions: Find the general solution of the system whose augmented matrix is given below. 5 -2 60 15 -6 18 0 10 - 4 12 0 Choose the correct answer below. O A. OB. O C. OD. X1 = -5X2 2 6 x1...

Explain how the move towards greater use of fair value accounting might increase information risk.

Give a summary of the table representing the financial data of a company. What will be the company's performance at the end of 5 years? Item/Year Current Asset Current Liabilities Inventories Cash...

True or false: The short - term focus of capital budgeting makes it prone to estimation errors

In Figure 23.3, when IPROC 5 1, in which section of the total instruction memory are instructions being executed by VBC1-E? How can we observe which section of the total instruction memory for VBC1-E...