Alg 2 Test ch 4 Take Home (23/24)

Front

What is the dimension of a matrix resulting from the multiplication of a 4x2 matrix and a 3x3 matrix?

Back

Can't multiply them because the number of columns in the first matrix (2) does not match the number of rows in the second matrix (3).

Front

What is the result of the operation: 7 - 9 - 6 + 20?

Back

7 - 9 - 6 + 20 = 12.

Front

What values of x and y satisfy the equation 2x + y = 3?

Back

x = 0, y = 3.

Front

If B is a 2x3 matrix and A is a 3x2 matrix, what is the dimension of the product B*A?

Back

The product B*A will be a 2x2 matrix.

Front

What is Cramer's Rule used for in solving systems of equations?

Back

Cramer's Rule is used to find the solution of a system of linear equations using determinants.

Front

What is the determinant of a 2x2 matrix [[a, b], [c, d]]?

Back

The determinant is calculated as ad - bc.

Front

How do you determine if two matrices can be multiplied?

Back

Two matrices can be multiplied if the number of columns in the first matrix equals the number of rows in the second matrix.

Front

What is the result of multiplying a 3x2 matrix by a 2x4 matrix?

Back

The result will be a 3x4 matrix.

Front

What does it mean if a matrix operation is 'not possible'?

Back

It means that the dimensions of the matrices involved do not allow for the operation to be performed.

Front

What is the formula for finding the inverse of a 2x2 matrix [[a, b], [c, d]]?

Back

The inverse is given by (1/(ad-bc)) * [[d, -b], [-c, a]] if ad-bc ≠ 0.