COwebivorkmath.ttu.ed WeBWorK MAA Logged 1125 nduong ATHEMATICAL A IATION OF AVE

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COwebivorkmath.ttu.ed WeBWorK MAA Logged 1125 nduong ATHEMATICAL A IATION OF AVERICA MAIN MENU Courses HW08: Problem 8 Usar Settng Gradcs (1 point) Let R3x3 be me vector space o, 3x 3 mances, which ofte following subsets or R3x3 are subspaces of R3x3? A. The 3 × 3 matrices A such trat the vector is n he null space of A Problem 2 C. The inverbiex3matrcrs D. The 3 x 3matriccs wnose entrics aro all mogers Problem 4 Problemv' E. The diagona 3 × 3 matrices F. The 3 x 3 ratrices in reduced row echeton form Problem 6 Problem 7 Preview My Amswers Submit Answers You hava attemptad this problem tmes. ou have unlimtempls reraning Frobiam 9 Email natrucar weeworK 1996-2016 theme nalh4 I wr_version 2.12 I p -'ersion: 2.12 The WestworK Froiect lype here to search

Explanation / Answer

Answer:

-> B,E

Explanation of each option:

Option A: No

Reason: Because if use row reduced echelon form then the third row of the matrix becomes zero then we can find the null space of a matrix but the answer does not exactly match what you have given.

Option B: Yes

Reason: take identity matrix and calculate trace of a matrix it becomes zero use only diagonal elements.

option c: No.

Reason:

Option D: No,

Reason: Because they are not closed under scalar multiplication over R.

Option E: Yes

Reason:

Option F: No

Reason: Here the elements of the 3rd row in the matrix becomes zero that why we can not reduce the echelon form

thank you please

let me know if you have any answers.

please try to check the answer and try another attempt you definitely success this attempt.

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