Inverse Matrix Skills

Calculate the inverse of the 2x2 matrix: [[a, b], [c, d]]

• [[a, -b], [-c, d]] / (ad - bc)

• [[d, b], [c, -a]] / (ad - bc)

• [[d, -b], [-c, a]] / (ad - bc)

• [[d, -b], [c, a]] / (ad + bc)

Find the inverse of the 3x3 matrix: [[1, 2, 3], [4, 5, 6], [7, 8, 9]]

• Inverse does not exist

• The inverse is [[-1, -2, -3], [-4, -5, -6], [-7, -8, -9]]

• The inverse is [[1, 0, -1], [2, 0, -2], [3, 0, -3]]

• The inverse is [[0, 0, 0], [0, 0, 0], [0, 0, 0]]

Determine if the matrix is invertible: [[2, 4], [1, 2]]

• Yes

• Sometimes

• No

• Maybe

Solve for the inverse of the matrix: [[3, 1], [2, 5]]

• [[5/13, -1/13], [-2/13, 3/13]]

• [[3, 1], [2, 5]]

• [[4/13, -1/13], [-2/13, 3/13]]

• [[1/3, -1/3], [-2/3, 3/3]]

Verify the inverse of the matrix: [[-1, 2], [3, -4]]

• [[4, 2], [-3, -1]]

• [[-4, -2], [3, 1]]

• [[1, -2], [-3, 4]]

• [[1, -3], [2, -4]]