What does it mean for two matrices to be equal?

Two matrices are equal if they have the same dimensions and corresponding elements are equal.

What is the determinant of a matrix?

The determinant is a scalar value that is a function of the entries of a square matrix, providing important properties of the matrix.

What is a matrix inverse?

The inverse of a matrix $$A$$ is another matrix $$A^{-1}$$ such that $$AA^{-1}=I$$ .

What is matrix multiplication?

Matrix multiplication involves taking the dot product of rows and columns of two matrices.

What is a square matrix?

A square matrix is a matrix with the same number of rows and columns.

What is a zero matrix?

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

What is a transpose of a matrix?

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

What is a scalar multiplication of a matrix?

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

Matrix Properties Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

Back

Always

2.

FLASHCARD QUESTION

Front

Back

3.

FLASHCARD QUESTION

Front

Back

Always

4.

FLASHCARD QUESTION

Front

Back

Sometimes

5.

FLASHCARD QUESTION

Front

Back

Sometimes

6.

FLASHCARD QUESTION

Front

What is the identity matrix?

Back

The identity matrix is a square matrix with ones on the diagonal and zeros elsewhere.

7.

FLASHCARD QUESTION

Front

What is a matrix?

Back

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

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