Question: In Exercises 1-3, test the sets of matrices for linear independence in M22. For those that are linearly dependent, express one of the matrices as

In Exercises 1-3, test the sets of matrices for linear independence in M22. For those that are linearly dependent, express one of the matrices as a linear combination of the others.
1.

r[1 1] [1-1][101 0-1][1 0],[3 2 2 3 4 23 3 3] 07 1 1 2 1 2 2

Step by Step Solution

★★★★★

3.43 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

1 We wish to determine if there are constants c 1 c 2 and c 3 not all zero such that This is equival... View full answer

Question Has Been Solved by an Expert!

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

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

859-L-A-L-S (2708).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Test the sets of matrices for linear independence in M 22 . For those that are linearly dependent, express one of the matrices as a linear combination of the others. -1 -1

Test the sets of matrices for linear independence in M 22 . For those that are linearly dependent, express one of the matrices as a linear combination of the others. -1 -2 1]' | 2 4 2 -3 2 3 3

In Exercises 1-2, test the sets of functions for linear independence in P, For those that are linearly dependent, express one of the functions as a linear combination of the others. 1. {1, sin x, cos...

In Exercises 1-3, test the sets of polynomials for linear independence. For those that are linearly dependent, express one of the polynomials as a linear combination of the others. 1. {x, 1 + x} in...

Test the sets of polynomials for linear independence. For those that are linearly dependent, express one of the polynomials as a linear combination of the others. {1 - 2x, 3x + x 2 - x 3 , 1 + x 2 +...

Test the sets of polynomials for linear independence. For those that are linearly dependent, express one of the polynomials as a linear combination of the others. {2x, 1 - x 3 , x 2 - x 3 , 1 - 2x +...

Test the sets of polynomials for linear independence. For those that are linearly dependent, express one of the polynomials as a linear combination of the others. {x, 2x - x 2 , 3x + 2x 2 } in P 2

Test the set of matrices for linear independence in M22 If it is linearly dependent express one of the matrices as a linear combination of the others 1 0 1 3 A B C D 3 3 1 1 7 17 3 121 12 10 2 X

Test the set of matrices for linear independence in M,2: If it is linearly dependent, express one of the matrices as a linear combination of the others. (If the set is linearly independent, enter...

Test the sets of functions for linear independence in F. For those that are linearly dependent, express one of the functions as a linear combination of the others. {sin x, sin 2x, sin 3x}

Ohio Apple Orchards (OAO), Inc., produces an organic, super-premium apple juice that it markets to specialty food outlets. OAO purchases its apples from a select group of farmers located in the...

1. A governmental fund Statement of Revenues, Expenditures, and Changes in Fund Balances reported of $30 million, including capital outlay expenditures of $9 million. Capital assets for that...

Identify a common method of ensuring some stability in the secondary market for a new issue. Placing a holding period on trading Restricting share sales Escrowing shares Listing the shares in the OTC...

Is the correlation coefficient an appropriate summary statistic in this case? Explain.

Use the method of Example 4.29 to compute the indicated power of the matrix. -5 -3 -1

Use the method of Example 4.29 to compute the indicated power of the matrix. ]k 3

Use the method of Example 4.29 to compute the indicated power of the matrix. 1 0 1

Division A manufactures electronic clrcult boards. The boards can be sold elther to Division B of the same company or to outside customers. Last year, the following actlvity occurred in Division A:...

Precision Manufacturing Incorporated (PMI) makes two types of industrial component parts-the EX300 and the TX500. It annually produces 52,000 units of EX 300 and 11,700 units of TX500. The company's...

+ ID Page view A Read aloud Draw V The manager of Get-well Pharmacy has provided you with the following information on May 1, 2011 for your professional assistance. The following information was...