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Matrix

\left[ \begin{array}{l} {4}&{5} \\ {-3}&{2} \end{array} \right] =

Algebra Calculus Trigonometry Matrix

Question

\left[\begin{array}{rr}{4}&{5}\\{-3}&{2}\end{array}\right]

Matrices

Evaluate

\left[\begin{array}{rr}{4}&{5}\\{-3}&{2}\end{array}\right]

To evaluate the determinant of the matrix,use the appropriate notation

\left|\begin{array}{cc}{4}&{5}\\{-3}&{2}\end{array}\right|

\text{Evaluate the determinant using the formula }\left| \begin{array} { l l l } { a } & { b } \\ { c } & { d } \end{array} \right| = ad - bc

4\times 2-5\left(-3\right)

Calculate the product

8-5\left(-3\right)

Calculate the product

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Evaluate

5\left(-3\right)

Multiplying or dividing an odd number of negative terms equals a negative

-5\times 3

Calculate

-15

8-\left(-15\right)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

8+15

Solution

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Evaluate the determinant

Find the matrix inverse

Find the matrix transpose

Find the row echelon form

Find the reduced row echelon form

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