Alg 2 sec 4.3 Flashcard (24/25)

Front

What is the dimension of the product of two matrices if one is 3x2 and the other is 2x1?

Back

(3 x 1)

Front

What is the value of element R_3,2 in a matrix R if R = [[1, 2], [3, 4], [5, 6], [7, 8]]?

Back

8

Front

Perform the scalar multiplication of the matrix [[1, 2], [3, 4]] by 3.

Back

[[3, 6], [9, 12]]

Front

Find the product of the matrices [[1, 2], [3, 4]] and [[5], [6]].

Back

[[17], [39]]

Front

Can you multiply a 2x3 matrix by a 3x2 matrix?

Back

Yes, the product will be a 2x2 matrix.

Front

What is the result of multiplying a 2x3 matrix by a 3x12 matrix?

Back

The result will be a 2x12 matrix.

Front

If matrix A is 2x3 and matrix B is 3x4, what is the dimension of the product AB?

Back

(2 x 4)

Front

What is the definition of scalar multiplication in matrices?

Back

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

Front

What is the condition for two matrices to be multiplied?

Back

The number of columns in the first matrix must equal the number of rows in the second matrix.

Front

If matrix C is 4x2, can it be multiplied by a 2x3 matrix?

Back

Yes, the product will be a 4x3 matrix.