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Twelfth Grade (Grade 12) Matrices Questions

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

This question is a part of a group with common instructions. View group »

What is the absolute value of the determinant of the transformation matrix, T?
  1. 6
  2. 7
  3. 12
  4. 3
Grade 12 Matrices CCSS: HSN-VM.C.7
If the matrix [28123408104] is multiplied by the scalar 1/2, what is the result?
  1. [4162468016208]
  2. [12820434108]
  3. [4616168202408]
  4. [1461.520452]
Grade 12 Matrices CCSS: HSN-VM.C.6
Jack is keeping track of the scores for his favorite teams in a series of basketball games. He records the initials of the team and score for each game. Which matrix represents the data he collected?
Round 1
SC 67
RG 103
PD 89

Round 2
RG 109
SC 86
PD 111

Round 3
PD 42
SC 99
RG 121
  1. [6710389109861114299121]
  2. [6786991031091218911142]
  3. [4299121111861096710389]
  4. [6710942103869989111122]
Grade 12 Matrices CCSS: HSN-VM.C.11
How would the vector 〈1,4,7〉 be represented as a matrix?
  1. [147000000]
  2. [147]
  3. [741]
  4. [100040007]
Grade 12 Matrices CCSS: HSN-VM.C.6
Which augmented matrix represents the system of equations 3y+8x=16 and 2x-4y=7?
  1. [38162-47]
  2. [16837-42]
  3. [83162-47]
  4. [7-421683]
Grade 12 Matrices CCSS: HSN-VM.C.12

This question is a part of a group with common instructions. View group »

What is the resulting matrix if V1 is transformed by T? Let this matrix be V2.
  1. [0612666-3-3]
  2. [065266-1-1]
  3. [2682063-1]
  4. [41010466-3-3]
Grade 12 Matrices CCSS: HSN-VM.C.10
Matrix A is a square matrix and |A|=-3. With this information, which of the following has to be true about matrix A?
  1. It is invertible.
  2. It has more negative elements than positive elements.
  3. It has an odd number of rows and columns.
  4. One cannot take the transpose of it.
Grade 12 Matrices CCSS: HSN-VM.C.10
If B is a 3-by-2 matrix, which of the following expressions, if evaluated, would yield the matrix B as the answer? Choose all correct answers.
  1. B⋅[100010001]
  2. B⋅[1001]
  3. [100010001]⋅B
  4. [1001]⋅B
Grade 12 Matrices CCSS: HSN-VM.C.8
Find the product, if possible. [45-1093]⋅[-1-25403]
  1. [-4-10-5009]
  2. [-915-5-1]
  3. [-14-59]
  4. Not possible.
Grade 12 Matrices CCSS: HSN-VM.C.8
If A=[402-1-57910-2] and B=[0-38319-2-211], find B-A.
  1. [43-6-4-6-21112-13]
  2. [4-3102-42789]
  3. [-4-36462-11-1213]
  4. [-4-3-646167813]
Grade 12 Matrices CCSS: HSA-REI.C.8
Which matrices below properly represent the system of equations?
3x+8y-23z=14, 34x-2y+53z=102, 18x+51y+4z=16
  1. [334188-251-23534]⋅[xyz]=[1410216]
  2. [38-2334-25318514]⋅[xyz]=[1410216]
  3. [334188-251-23534]⋅[zyx]=[1610214]
  4. [38-2334-25318514]⋅[xyz]⋅[1410216]
Grade 12 Matrices CCSS: HSN-VM.C.11
How would the vector 〈4,10,-5〉 would be represented as a matrix?
  1. [410-5000000]
  2. [400010000-5]
  3. [-5104]
  4. [410-5]
Grade 12 Matrices CCSS: HSN-VM.C.11
What does the matrix [261418] multiplied by the vector 〈4,10,-5〉 equal?
  1. [860-51610-40000]
  2. [1610-40860-5]
  3. [2470-45]
  4. [63-14]
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