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 Matrices 30 Flashcards |
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What is the formula to determine the total number of elements in a matrix? |
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 Total elements = Number of rows × Number of columns. |
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A matrix with an equal number of rows and columns is known as a ___ matrix. |
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 Square |
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True or False: A null matrix can contain non-zero elements. |
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 False: A null matrix contains all elements as zero. |
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If matrix A has an order of 3 × 2, what will be the order of its transpose? |
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 2 × 3 |
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Fill in the blank: The identity matrix is denoted by ___ and acts as the multiplicative identity. |
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 I |
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What property of matrix addition states that A + B = B + A? |
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 Commutative property |
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If A = [2 3; 4 5] and B = [1 1; 1 1], what is A - B? |
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 [1 2; 3 4] |
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What is the result of multiplying any matrix A by the identity matrix I? |
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 The result is A itself, A × I = A. |
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Riddle: I am a matrix where all elements are zero; what am I? |
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 A null matrix. |
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If A = [1 2; 3 4] and B = [5 6; 7 8], what is A + B? |
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 [6 8; 10 12] |
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For matrices A and B to be added, they must have the same ___. |
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 Order |
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What is the additive inverse of a matrix A? |
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 -A, where each element is multiplied by -1. |
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If the order of a matrix is 4 × 3, how many elements does it have? |
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 12 elements. |
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True or False: The product of two non-zero matrices is always a non-zero matrix. |
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 False: The product can be a zero matrix. |
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What is the condition for matrix multiplication AB to be defined? |
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 The number of columns in A must equal the number of rows in B. |
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