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Common Core Standard HSA-REI.C.9 Questions

(+) Find the inverse of a matrix if it exists and use it to solve systems of linear equations (using technology for matrices of dimension 3 × 3 or greater).

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Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math][[1,2],[3,4]][/math]
  1. [math][[-2,1],[3/2,-1/2]][/math]
  2. [math][[4,-2],[-3,1]][/math]
  3. [math][[4,2],[3,1]][/math]
  4. [math][[1,-2],[-3,4]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math][[0,6],[2,8]][/math]
  1. [math][[4/6,2/4],[2/12,6/0]][/math]
  2. [math][[-2/3,1/2],[1/6,0]][/math]
  3. [math][[0,1/2],[1/6,2/3]][/math]
  4. [math][[96,-72],[-24,0]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math][[2,5],[1,6]][/math]
  1. [math][[42,-35],[-7,14]][/math]
  2. [math][[6/17,-5/17],[-1/17,2/17]][/math]
  3. [math][[2/7,5/7],[1/7,6/7]][/math]
  4. [math][[6/7,-5/7],[-1/7,2/7]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math] [[10,3],[2,4]] [/math]
  1. [math][[5/17,3/34],[1/17,2/17]][/math]
  2. [math][[2/23,-3/46],[-1/23,5/23]][/math]
  3. [math][[2/17,-3/34],[-1/17,5/17]][/math]
  4. [math][[4,-3],[-2,10]][/math]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [math][[5,2],[4,6]][/math]
  1. [math][[3/11,-1/11],[-2/11,5/22]][/math]
  2. [math][[6,-2],[-4,5]][/math]
  3. [math][[132,-44],[-88,110]][/math]
  4. [math][[-6,2],[4,-5]][/math]

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