Matrix Operations Review

Front

What is the result of multiplying a 6x2 matrix by a 2x12 matrix?

Back

A 6x12 matrix.

Front

What is the condition for two matrices to be added together?

Back

They must have the same dimensions.

Front

If A = [[1, 2], [3, 4]] and B = [[5, 6], [7, 8]], what is A + B?

Back

A + B = [[6, 8], [10, 12]]

Front

What is the result of B - E if B and E are matrices?

Back

B - E is not equal to E - B; matrix subtraction is not commutative.

Front

If a customer pays $64 for 3 large candles and 4 small candles, how can we express this as an equation?

Back

3x + 4y = 64, where x is the price of a large candle and y is the price of a small candle.

Front

What does the equation x + 8y = 68 represent in the context of candle pricing?

Back

It represents a second customer's purchase of 1 large candle and 8 small candles, paying $4 more than the first customer.

Front

Can you multiply a 3x2 matrix by a 6x3 matrix?

Back

No, the number of columns in the first matrix must equal the number of rows in the second matrix.

Front

What is the result of adding two matrices of dimensions 2x3 and 2x3?

Back

The result is a 2x3 matrix.

Front

If A = [[2, 3], [4, 5]] and B = [[1, 1], [1, 1]], what is A - B?

Back

A - B = [[1, 2], [3, 4]]

Front

What is the definition of a matrix?

Back

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