Exploring Matrix Operations in Algebra 2

What is the result of multiplying a matrix by a scalar value?

• The matrix is inverted.

• The matrix is transposed.

• Each entry in the matrix is multiplied by the scalar value.

• The matrix remains unchanged.

In the given example, what does the matrix represent?

• Prices of men's clothing.

• Prices of women's clothing.

• Sales data for a month.

• Inventory levels.

How do you find the total sales for two months using matrices?

• By subtracting the matrices.

• By multiplying the matrices.

• By adding the matrices.

• By dividing the matrices.

What is the result of adding the matrices A and B?

• A matrix with the same dimensions as A and B.

• A scalar value.

• A matrix with different dimensions.

• A zero matrix.

What must be true for two matrices to be added or subtracted?

• They must be diagonal matrices.

• They must be square matrices.

• They must have the same dimensions.

• They must be identity matrices.

What is a zero matrix?

• A matrix with no entries.

• A matrix with all entries equal to the same non-zero value.

• A matrix with all entries equal to one.

• A matrix with all entries equal to zero.

What is the additive inverse of a matrix?

• A matrix that, when divided by the original, results in a scalar value.

• A matrix that, when subtracted from the original, results in a zero matrix.

• A matrix that, when multiplied by the original, results in an identity matrix.

• A matrix that, when added to the original, results in a zero matrix.

Is matrix addition commutative?

• No, A + B ≠ B + A.

• Yes, A + B = B + A.

• Only for square matrices.

• Only for diagonal matrices.

What does it mean to translate a figure using matrices?

• To rotate the figure.

• To reflect the figure.

• To shift the figure in the plane.

• To scale the figure.

What is the result of dilating a figure by a scale factor of 1/2 using matrices?

• The figure is enlarged.

• The figure is reduced in size.

• The figure is rotated.

• The figure is reflected.