Adv. Algebra Matrix Vocabulary Review

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What is a matrix?

Back

A matrix is a rectangular array of numbers arranged in rows and columns.

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How do you denote the size of a matrix?

Back

The size of a matrix is denoted by the number of rows followed by the number of columns, written as Rows x Columns.

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What is the element located in row 2, column 3 of a matrix A?

Back

The element located in A₂₃ refers to the value in the second row and third column of matrix A.

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What is the result of adding two matrices of the same size?

Back

The result of adding two matrices of the same size is another matrix of the same size, where each element is the sum of the corresponding elements from the two matrices.

Front

What is the commutative property in matrix addition?

Back

The commutative property states that the order of addition does not affect the sum, i.e., A + B = B + A.

Front

What is the result of subtracting two matrices of the same size?

Back

The result of subtracting two matrices of the same size is another matrix of the same size, where each element is the difference of the corresponding elements from the two matrices.

Front

What is the associative property in matrix addition?

Back

The associative property states that the way in which matrices are grouped in addition does not affect the sum, i.e., (A + B) + C = A + (B + C).

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Can you multiply two matrices of different sizes?

Back

No, you cannot multiply two matrices unless the number of columns in the first matrix is equal to the number of rows in the second matrix.

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere, denoted as I, such that A * I = A for any matrix A.

Front

What is a zero matrix?

Back

A zero matrix is a matrix in which all elements are zero.