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matrix


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matrix

If A is the matrix
 [1 -1] first row
[2 3]second row
show that [A]^2 - 4A+5I=0

use matrix multiplication to get A^2
multiply each element of A with 4 to get 4A
since A is a 2x2 matrix  I will the the unit matrix of order 2
multiply it with 5 to get 5I

now substitute and simplify to get the zero matrix

matrix
              characteristic equation cayley hamilton theorem
              verification



 

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problem2
A matrix has 30 elements.What are the
possible orders it can have?

go for all the possible factorisations of 30
into two natural numbers.
30x1
15x2
10x3
6x5
5x6
3x10
2x15
1x30




other questions and problems:


*integral calculus integration formula





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trigonometric identity and ratio of  certain standard angles

*list of differentiation formula     *integral calculus integration formula
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