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- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
\left[\begin{array}{rr}{4}&{5}\\{-3}&{2}\end{array}\right]
Matrices
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Evaluate the determinant
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Find the matrix inverse
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Find the matrix transpose
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Find the row echelon form
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Find the reduced row echelon form
More methods
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23
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
More Steps
Evaluate
5\left(-3\right)
Multiplying or dividing an odd number of negative terms equals a negative
-5\times 3
Multiply the numbers
-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
23
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