Matrices Operations Practice

Front

What is a matrix?

Back

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

Front

What is matrix addition?

Back

Matrix addition involves adding corresponding elements of two matrices of the same dimensions.

Front

What is the result of adding the matrices: [[11, 8], [-4, 2]] and [[3, 2], [-6, -6]]?

Back

The result is [[14, 10], [-10, -4]].

Front

What is matrix subtraction?

Back

Matrix subtraction involves subtracting corresponding elements of two matrices of the same dimensions.

Front

What is the result of subtracting the matrices: [[3, -8], [0, -1]] from [[8, -13]]?

Back

The result is [[5, 5], [0, -1]].

Front

What is scalar multiplication in matrices?

Back

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

Front

What is the result of multiplying the matrix [[20, 15], [-10, 30]] by the scalar -2?

Back

The result is [[-40, -30], [20, -60]].

Front

What is the condition for matrix addition to be possible?

Back

Matrix addition is possible only if the matrices have the same dimensions (same number of rows and columns).

Front

What is the element in the second row, third column of the matrix [[1, 2, 3], [4, 5, 6], [7, 8, 9]]?

Back

The element is 6.

Front

What is the result of the matrix operation: [[1, 2], [3, 4]] + [[5, 6], [7, 8]]?

Back

The result is [[6, 8], [10, 12]].