matrix basics
matrix operations
determinants
inverse of matrices
special matrices
100

order of 5x6 matrix

30

100

add[ 6  1         and matrix [3   0

      1   7   ]                      2    1]

[9       1

3        8]

100

Determinant of | 2          5

                         1           4|

3

100

inverse of [ 1  0

                0    1]

[ 1      0

0        1]

100

[3      0

0         9]

diagonal matrix

200

2      5 

7      3

2

        3

200

A+O

A

200

[1   0   

0     1]

1

200

if determinant is 0, will it has inverse?

no

200

AT= -A

SKEW SYMMETRIC

300

identity matrix of order 3

1   0   0

0    1   0

0    0    1

300

A+A

2A

300

determinant of singular matrix

zero

300

if det(A) is non zero, then it will have inverse or not?

yes, it has inverse

300

det(A)=0

SINGULAR MATRIX

400

no. of columns in 9x13 matrix

13

400

A-A

ZERO MATRIX

400

[1    2   3

4     5   6

7    8    9]

0

400

inverse of | 1        2

                 3         4|

  |-2     1

  1.5        -0.5|

400

AT=A

Symmetric matrix

500

number of rows and columns in square matrix 

equal

500

K [ 1          7

    8           9]

[ K               7K

8K               9K]

500

IF THE DETERMINANT OF 

A MATRIX IS 0, WHAT DOES THAT TELL U ABOUT MATRIX

singular

500

inverse of | 4        7

               2           6|

[ 0.6            -0.7

-0.2             0.4]

500

AXI=IXA=A

Identity matrix

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