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Grade 12 Matrices CCSS: HSN-VM.C.11
The matrix [123456789] multiplied by the vector 〈1,2,3〉 equals which of the following?
  1. [1494101871627]
  2. [143250]
  3. [123054]
  4. [12381012212427]
Grade 12 Matrices CCSS: HSN-VM.C.12
The vertex matrix for rectangle ABCD is V=[11441331]. Which of the following is the correct transformed vertex matrix, if the transformation matrix A=[01-10] is applied?
  1. [1-13-13-41-4]
  2. [-1-3-3-11144]
  3. [1331-1-1-4-4]
  4. [-1-3-3-1-1-1-4-4]
Grade 12 Matrices CCSS: HSN-VM.C.11
For the transformation matrix A=[100-1], how is the vector →v=〈3,4〉 affected if it is multiplied with A?
  1. It has been rotated 90° clockwise.
  2. It has reversed direction.
  3. It has been reflected over a horizontal line.
  4. The resulting transformation is a combination of reflections and rotations.
Grade 12 Matrices CCSS: HSN-VM.C.9
Jennie is talking with Liz after their math class. Jennie says, from what she understood from the class, that for matrices A and B, AB is never equal to BA. Liz thinks that, although this is true in general, there are certain matrices for which AB=BA. Who is correct, and why?
  1. Jennie is correct. Since the distributive property does not apply, AB≠BA, for all matrices.
  2. Liz is correct. One simply has to take the transpose of the two matrices (the rows become columns of each matrix), and then it is usually true that AB=BA.
  3. Liz is correct. For example, the identity matrix with any square matrix of the same size.
  4. Neither is correct. AB=BA is always true for any matrices A, B.
Grade 11 Matrices CCSS: HSA-REI.C.8
Which matrix equation correctly represents the following linear system of equations?
y=12x+34
5x-3y=3
  1. [1125-3][xy]=[343]
  2. [-1215-3][xy]=[343]
  3. [425-3][xy]=[343]
  4. [42-35][xy]=[33]
Grade 11 Matrices CCSS: HSA-REI.C.8
Which matrix equation correctly represents the following system of equations?
y=34x-54
2y+x=5
  1. [-3412][xy]=[-55]
  2. [13421][xy]=[-545]
  3. [34112][xy]=[-545]
  4. [4321][xy]=[-54]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [2980341113] is multiplied by the scalar 3, what is the result?
  1. [233830143131131]
  2. [60327933241612]
  3. [512113674147]
  4. [6272409123339]
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [689102362] is multiplied by the scalar 3, what is the result?
  1. [91112435895]
  2. [1824273069186]
  3. [356-2-3-103-1]
  4. [986201263]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [10324].
  1. [517334117217]
  2. [223-346-123523]
  3. [217-334-117517]
  4. [4-3-210]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which of the following matrix equations correctly represents this system of equations?
4x+3y-z=12,  3y+x+z=10,  8x-z-3y=1
  1. [43-13118-1-3][xyz]=[12101]
  2. [43-13118-1-3][12101]=[xyz]
  3. [43-11318-3-1][xyz]=[12101]
  4. [41833-3-11-1][xyz]=[12101]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations 2x+5y=32 and 4x-3y=14?
  1. [-2-5-32-43-14]
  2. [25324-314]
  3. [32524-314]
  4. [232514-34]
Grade 12 Matrices CCSS: HSA-REI.C.9
Find the inverse of the matrix [0628].
  1. [462421260]
  2. [-2312160]
  3. [0121623]
  4. [96-72-240]
Grade 12 Matrices CCSS: HSN-VM.C.11
Which matrix would transform the vector 〈4,2,7〉 to the vector 〈20,23,51〉?
  1. [032401325]
  2. [325401032]
  3. [043302215]
  4. [512203340]
Grade 11 Matrices CCSS: HSN-VM.C.8
Evaluate. [2-3-42] + [-1-53-2]
  1. [-1-8-10]
  2. [1-8-10]
  3. [1-8-70]
  4. None of the above
Grade 12 Matrices CCSS: HSN-VM.C.11
For the vector 〈3,-1,4〉, find the resulting vector if the transformation matrix [321321321] is applied to it.
  1. [111111]
  2. [18126]
  3. [131313]
  4. This vector and matrix cannot be multiplied together.
Grade 12 Matrices CCSS: HSN-VM.C.8
Given the matrix multiplication equation A B=C, where C=[4320-1359], which of the following are possible matrices for B? There may be more than one correct choice.
  1. B=[10000001]
  2. B=[13-614140-683-101210-3-6411215138]
  3. B=[3-21093-111324-5-6-1-2106]
  4. B=[4-12-3-2105]
Grade 12 Matrices CCSS: HSN-VM.C.12
Which one of the following matrix equations correctly shows the transformation of the first rectangle, whose vertex matrix is V1=[11441221], to the second rectangle, whose vertex matrix is V2=[-4-4221331]?
1x3 Q1 Horizontal
2x6 Q2 Horizontal
  1. V2=[2002](V1-[11111111])-[4444-1-1-1-1]
  2. V2=[2002]V1-[55550000]
  3. V2=[-412321]V1
  4. V2=[2222](V1-[11111111])
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