Question

What is difference between determinants and matrices

Answer 1

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What is difference between determinants and matrices

DETERMINANTS..

If all the elements of a row (or column) are zeros, then the value of the determinant is zero. If value of determinant ‘Δ’ becomes zero by substituting x = α, then x – α is a factor of triangle.

If all the elements of a determinant above or below the main diagonal consists of zeros, then the value of the determinant is equal to the product of diagonal elements.

we interchange any two rows (or columns), then sign of the determinant changes. If any two rows or any two columns in a determinant are identical (or proportional), then the value of the determinant is zero.
Multiplying a determinant by k means multiplying the elements of only one row (or one column) by k. If we multiply each element of a row (or a column) of a determinant by constant k, then value of the determinant is multiplied by k.
If elements of a row (or a column) in a determinant can be expressed as the sum of two or more elements, then the given determinant can be expressed as the sum of two or more determinants.

MATRICS

Matrics basically an organized box (or “array”) of numbers (or other expressions). In this chapter, we will typically assume that our matrices contain only numbers. We use matrices in mathematics and engineering because often we need to deal with several variables at once EXAMPLE The coordinates of a point in the plane are written (x,y) or in space as (x,y,z) and the seare often written as column matrices in the form....
$\binom{x}{y} and \: \binom{x}{y \: z}$