If E = [[1, 2], [2, 4]], what can be said about the matrix E? (2023)

If E = [[1, 2], [2, 4]], what can be said about the matrix E? (2023)

Step 1: Identify the matrix E, which is given as E = [[1, 2], [2, 4]].
Step 2: Understand that a matrix is singular if its determinant is 0.
Step 3: Calculate the determinant of matrix E using the formula: determinant = (a*d) - (b*c), where E = [[a, b], [c, d]].
Step 4: For matrix E, a = 1, b = 2, c = 2, and d = 4.
Step 5: Substitute the values into the determinant formula: determinant = (1*4) - (2*2).
Step 6: Calculate the result: determinant = 4 - 4 = 0.
Step 7: Since the determinant is 0, conclude that matrix E is singular.

Matrix Determinant – The determinant of a matrix is a scalar value that can indicate whether the matrix is invertible (non-singular) or not (singular).
Singular Matrix – A matrix is singular if its determinant is zero, meaning it does not have an inverse.