Understanding Matrix Invertibility: How to Calculate the Determinant and Determine if a Matrix is Invertible

1 1 3 3 The given matric is invertible

To determine if a matrix is invertible, we need to calculate its determinant

To determine if a matrix is invertible, we need to calculate its determinant. In this case, we have the given matrix:

| 1 1 |
| 3 3 |

To find the determinant of a 2×2 matrix, we use the formula: det(A) = (a * d) – (b * c).

Using the matrix above, we can denote:
a = 1, b = 1, c = 3, d = 3

Substituting these values into the formula, we get:
det(A) = (1 * 3) – (1 * 3)
= 3 – 3
= 0

Since the determinant of this matrix is 0, it means that this matrix is not invertible. In other words, there is no inverse matrix for this given matrix.

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