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 Linear Algebra 20 Flashcards |
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What is the time complexity of the matrix addition operation? |
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O(m * n) |
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True or False: Matrix addition is associative. |
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True |
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Fill in the blank: A square matrix is said to be a ______ matrix if its determinant is zero. |
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Singular |
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Which of the following properties does NOT hold for matrix multiplication? A) (AB)C = A(BC) B) AB = BA C) A(BC) = (AB)C D) (A + B)C = AC + BC |
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B) AB = BA |
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Riddle: I can be square or rectangular, my elements are arranged in rows and columns. What am I? |
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A matrix |
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The order of the resulting matrix from multiplying an m × n matrix A with an n × p matrix B is ______. |
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M × p |
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True or False: Subtraction of matrices is commutative. |
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False. Subtraction of matrices is non-commutative. |
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What is the property of eigenvectors with distinct eigenvalues? |
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They are linearly independent. |
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Fill in the blank: The trace of a matrix is equal to the sum of its ______. |
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Diagonal elements |
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Which type of matrix has all non-diagonal entries equal to zero? A) Symmetric B) Diagonal C) Skew-Symmetric D) Identity |
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B) Diagonal |
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