Finding the Inverse of a 3 x 3 Matrix

What is a matrix?

• A single number

• An array of numbers

• A geometric shape

• A type of equation

What is the principal diagonal of an identity matrix composed of?

• All zeros

• All ones

• Alternating ones and zeros

• All negative ones

What is the result of multiplying any matrix by its identity matrix?

• Original matrix

• Zero matrix

• Inverse matrix

• Identity matrix

What is the first step in solving a system of equations using matrices?

• Check the dimensions

• Find the determinant

• Transpose the matrix

• Multiply the matrices

What is the equation form when converting a system of equations into matrices?

• A + B = C

• A * M = N

• M = A * N

• A = M * N

What is the purpose of creating an augmented matrix?

• To find the inverse matrix

• To transpose the matrix

• To find the determinant

• To simplify the system of equations

What operation is performed to make the first element of the second row zero?

• Row 1 minus 2 times Row 2

• Row 2 minus Row 1

• Row 1 plus Row 2

• 2 times Row 1 minus Row 3

What is the final step in finding the inverse matrix?

• Divide each row to make the principal diagonal ones

• Multiply the rows

• Add the rows

• Transpose the matrix

What is the result of multiplying the inverse matrix by the constant matrix?

• Original matrix

• Zero matrix

• Identity matrix

• Solution matrix

What is the solution to the system of equations in the example?

• x = 2, y = -3, z = 2

• x = -2, y = -3, z = -2

• x = 2, y = 3, z = 2

• x = -2, y = 3, z = -2