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Questions and Answers
What is the matrix representation of a 3x3 identity matrix?
What is the matrix representation of a 3x3 identity matrix?
- [[1, 1, 1], [1, 1, 1], [1, 1, 1]]
- [[1, 0, 0], [0, 1, 0], [0, 0, 1]] (correct)
- [[0, 1, 0], [1, 0, 1], [0, 1, 0]]
- [[1, 0, 1], [0, 1, 0], [1, 0, 1]]
What is the determinant of a 2x2 matrix [[a, b], [c, d]]?
What is the determinant of a 2x2 matrix [[a, b], [c, d]]?
- ab + cd
- a^2 + b^2 + c^2 + d^2
- a + b + c + d
- ad - bc (correct)
What is the determinant of a 3x3 matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
What is the determinant of a 3x3 matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?
- 9
- 3
- 0 (correct)
- 1
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Study Notes
Matrix Representation
- The matrix representation of a 3x3 identity matrix is [[1, 0, 0], [0, 1, 0], [0, 0, 1]]
Determinant of a 2x2 Matrix
- The determinant of a 2x2 matrix [[a, b], [c, d]] is ad - bc
Determinant of a 3x3 Matrix
- The determinant of a 3x3 matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]] is 0
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