Matrix refers to an arrangement of elements (numbers or symbols) in row (denoted by m) and column (denoted by n) format. It is a rectangular representation of elements covered by brackets. In contrast, determinant is a numeric value computed from matrix. It is covered by bars.
Difference Between Matrix And Determinant
The major dissimilarities or difference between matrix and determinant can be highlighted as follows:
1. Introduction
Matrix: It is a two dimensional (row and column) representation of numbers and symbols in a rectangular form.
Determinant: It is a value or number computed from square matrix with the help of mathematical calculation.
2. What Is It?
Matrix: It is a group or set of numbers or symbols
Determinant: It is only a number
3. Covered By
Matrix: It is always covered by brackets such as [ ], ( ) and { }
Determinant: It is always covered by bars such as l l
4. Rows And Columns
Matrix: Number of rows and column may or may not be equal
Determinant: Number of rows and columns should be always equal
5. Value
Matrix: It has no value because it is only an arrangement of numbers.
Determinant: It has always a fixed value.
Matrix Vs Determinant (Comparison Chart)
Matrix Vs Determinant (Comparison Chart)
Basis
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Matrix
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Determinant
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Introduction
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Two dimensional presentation of numbers
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Value of square matrix
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Refers To
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Set of numbers/symbols
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A number only
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Covered By
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[ ], { } or ( )
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l l
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Rows / Columns
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Not always equal
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Always equal
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Value
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No
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Yes
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Distinction Between Matrix And Determinant In Short
- Matrix is an arrangement of elements in row and column format. But determinant is a value square matrix.
- Matrix is a set of elements such as numbers, symbols and expressions. On the contrary, determinant is only a number.
- Matrix has no value. But determinant has fixed value.
