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Matrices Questions - All Grades

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Grade 11 Matrices
For [math]A = [[16, 8, 32], [4, 0, 12], [8, 24, 20]] [/math], find [math]1/4 A[/math].
  1. [math] [[4, 2, 8],[4, 0, 12], [8, 24, 20]] [/math]
  2. [math] [[ 4, 8, 32],[1, 0, 12],[2,24,20]] [/math]
  3. [math] [[4,2,8],[1,0,3],[2,6,5]] [/math]
  4. [math]"Does not exist (because of 0 in matrix)"[/math]
Grade 11 Matrices
Evaluate, if possible.
[math] [[3,4,8],[1,3,1]] + [[6,1],[9,2],[3,4]] [/math]
  1. [math] [[9,2],[13,5],[11,5]] [/math]
  2. [math]"Not possible"[/math]
  3. [math] [[9,5],[10,5]] [/math]
  4. [math] [[7,4],[12,6],[4,12]] [/math]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations [math]2x=8[/math] and [math]6=3y+x[/math]?
  1. [math][[2,8,,0],[6,3,,1]][/math]
  2. [math][[8,2,,0],[6,3,,1]][/math]
  3. [math][[0,2,,8],[6,3,,1]][/math]
  4. [math][[2,0,,8],[1,3,,6]][/math]
Grade 11 Matrices
Evaluate. [math][(2,-3), (-4,2)] - [(-1,-5), (-3,2)][/math]
  1. [math][(3,2),(-7,4)][/math]
  2. [math][(-3,2),(-7,4)][/math]
  3. [math][(3,2),(-1,0)][/math]
  4. None of the above
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [math][[2,9,8],[0,3,4],[1,11,3]][/math] is multiplied by the scalar 5, what is the result?
  1. [math][[7,14,13],[5,8,9],[6,16,8]][/math]
  2. [math][[10,45,40],[0,15,20],[5,55,15]][/math]
  3. [math][[3,4,1],[11,3,2],[9,8,0]][/math]
  4. [math][[10,0,5],[45,15,55],[40,20,15]][/math]
Grade 11 Matrices
Evaluate. [math][(2, -3) , (-4, 2)][/math] + [math][ (-1, -5), ( 3, -2) ][/math]
  1. [math][(-1, -8), (-1, 0)][/math]
  2. [math][(1, -8), (-1,0)][/math]
  3. [math][(1, -8), (-7, 0)][/math]
  4. None of the above
Grade 11 Matrices
A square matrix A is NOT invertible (does not have an inverse) if which of the following is true?
  1. Matrix A is the identity matrix
  2. [math]A_{1,1} < 0[/math]
  3. Matrix A has any elements equal to zero
  4. [math]det(A) = 0[/math]
Grade 11 Matrices
What is the rule for matrix multiplication?
  1. The number of columns of the first matrix must equal the number of rows of the second matrix.
  2. The matrices must have the same dimensions.
  3. The matrices must have the same number of rows, but not columns.
  4. There is no rule. Matrix multiplication is always possible.
Grade 11 Matrices
Evaluate. [math][[1,2],[3,4]]+[[1,2],[3,4]][/math]
  1. [math][[2,4],[6,8]][/math]
  2. [math][[2,8],[6,4]][/math]
  3. [math][[8,2],[6,4]][/math]
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 11 Matrices
What is the rule for matrix addition and subtraction?
  1. The number of columns of the first matrix must equal the number of rows of the second matrix.
  2. The matrices must have the same dimensions.
  3. The matrices must have the same number of rows, but not columns.
  4. There is no rule. Matrix addition and subtraction is always possible.
Grade 12 Matrices
Evaluate: [math]3[[8],[0],[-3]]-4[[2],[2],[10]][/math]
  1. [math]"Impossible"[/math]
  2. [math][[16],[-8],[-49]][/math]
  3. [math][[-49],[-8],[16]][/math]
  4. [math][[16,-8,-49]][/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][[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
Perform the indicated operations. If the matrix does not exist, choose impossible.

[math][[8,3],[-1,-1]]-[[0,-7],[6,2]][/math]
  1. [math][[-8,-10],[-7,-3]][/math]
  2. [math][[-3,10],[-7,8]][/math]
  3. [math]"Impossible"[/math]
  4. [math][[8,10],[-7,-3]][/math]
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