Which simplest formula can assist me in solving the determinant of a matrice?

Step-by-step explanation:

For a 2 by 2 matrix,

      This is the formula for a 2 by 2 matrix determinant.

For a 3 by 3 matrix, the formula is

For 4 by 4 matrices, and higher, i suggest you use a calculator.

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step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.