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Question

How do you evaluate a matrix.


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Solution

Step 1: Matrix

For evaluating a matrix, it must be a square matrix of order n×n. it can be 2×2,3×3,4×4

For eg:

abcd2×2 is a square matrix of order 2×2

abcdefghi3×3is a square matrix of order 3×3

Step 2: Evaluating a matrix

A=abcd2×2we can evaluate the 2×2 matrix by multiplying the and then subtracting it

A=ad-bc

For 3×3matrix

open square brackets table row a b c row d e f row g h i end table close square brackets subscript 3 cross times 3 end subscript

Hide row and column along which we evaluating the matrix

Then the remaining element is efhithenA=ei-fhin this we evaluate the matrix along element a.

Similarly, if we evaluate the matrix along element b then A=dfgithenA=di-gf

Hence, in this way we can evaluate a square matrix .


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