Question

plz solve this question with explanation and explain what is (ij) in a matrix plzzz ​

Answer 1

Answer:

-1

Step-by-step explanation:

ij represents row and column respectively of a matrix

M = (aij) represent a matrix with I rows and j columns

the elements of matrix is given by

aij= 1 if I+j=11, aij=0 otherwise

for non zero elements

if I=1, j=10, if I=2,j=9 ......if I=10, j=1

M is a 10x10 matrix means 10 rows and 10 columns.

the matrix will be like ....

M= | 0 0 0 0 0 0 0 0 0 1 |

| 0 0 0 0 0 0 0 0 1 0 |

| 0 0 0 0 0 0 0 1 0 0 |

..............

.............

| 1 0 0 0 0 0 0 0 0 0 |

thus this is a unit matrix but 90° flipped

the value of its determinant will be

(-1)^i+j aij*Aij

expanding the determinant

(-1)^(1+10) *1* minor of 1

on solving we will get

M = -1