Adding subtracting multiplying matrices

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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 add two matrices?

Back

To add two matrices, add their corresponding elements. The matrices must have the same dimensions.

Front

How do you subtract two matrices?

Back

To subtract two matrices, subtract their corresponding elements. The matrices must have the same dimensions.

Front

What is matrix multiplication?

Back

Matrix multiplication involves multiplying rows of the first matrix by columns of the second matrix. The number of columns in the first matrix must equal the number of rows in the second.

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What are the dimensions of a matrix?

Back

The dimensions of a matrix are given in the form 'rows x columns' (e.g., a 3x2 matrix has 3 rows and 2 columns).

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What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere. It acts as the multiplicative identity in matrix multiplication.

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What is a zero matrix?

Back

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

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How do you find the transpose of a matrix?

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The transpose of a matrix is obtained by swapping its rows and columns.

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What is the determinant of a matrix?

Back

The determinant is a scalar value that can be computed from the elements of a square matrix, providing important properties about the matrix.

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What is a scalar multiplication of a matrix?

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Scalar multiplication involves multiplying each element of a matrix by a scalar (a single number).