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Type: Multiple-Choice
Category: Matrices
Level: Grade 12
Standards: HSN-VM.C.8
Author: nsharp1
Created: 5 years ago

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Grade 12 Matrices CCSS: HSN-VM.C.8

Kathi recently did a survey, asking which grocery store people shopped at most frequently. There were 5 possible grocery stores to choose from. She asked 3 different groups of people and then put this data in a matrix, each row representing a different group of people, each column representing a different grocery store. Let this be matrix G. Kathi wants to find a matrix, A, such that

$G \ A = S$ , where the matrix S will be the sum of each row (or the total number of people in each group). Which of the following would correctly accomplish this?

$A = [[1,1,1,1,1]]$
$A = [[1,0,0,0,0],[0,1,0,0,0],[0,0,1,0,0],[0,0,0,1,0],[0,0,0,0,1]]$
$A = [[1],[1],[1],[1],[1]]$
Without knowing the entries of matrix G, this cannot be determined.