Home
Class 12
MATHS
Construct a 2xx3 "matrix"A=[a(ij)], whos...

Construct a `2xx3 "matrix"A=[a_(ij)]`, whose elements are give by `a_(ij)=[{:(i)/(j):}]`, where [.] denotes the greatest integer function.

Text Solution

Verified by Experts

since ,` a_(ij)` = `a_(ij) ={{:(2i)/(3j):}}`
`a_(11)=1-1=0,a_(12)=1+2=3,a_(13)=1+3=4,`
`a_(21)=2-1=1,a_(22)=2-2=0 and ,a_(23)=2+3=5,`
Hence, the required matrix is
`A = [{:(0,3,4),(1,0,5):}]`
Promotional Banner

Similar Questions

Explore conceptually related problems

Construct a 2xx3 matrix A = [a_ij], whose elements are given by a_(ij) ={{:(2i)/(3j):}}

Construct a 2xx3 matrix A=[a_(ij)] whose elements are given by a_(ij)=(i-j)/(i+j)

Construct a 2xx3 matrix A=[a_(ij)] whose elements are given by a_(ij)=(1-j)/(1+i)

Construct a 2xx2 matrix A=[a_(ij)] whose elements are given by : a_(ij)=(2i-j)/(3)

Construct a 2xx3 matrix A = [a_ij], whose elements are given by a_(ij) =(i+2j)^(2)/2

Construct a 2xx2 matrix A=[a_(ij)] whose elements are given by : a_(ij)=1/3|(2i-3j)|

Construct a 2xx2 matrix A=[a_(ij)] whose elements are given by a_(ij)=((i+2j)^(2))/(2)

construct a 2xx3 matrixA=[a_(ij)] , whose elements are give by a_(ij)= ((3i+4j)/(2)) where (.) denotes the least integer function.

Construct a 2xx2 matrix A=[a_(ij)] whose elements are given by : a_(ij)=((i+j)^(2))/(2)

Construct a 2*2 matrix,A=[a_(ij)], whose elements are given by: a_(ij)=((i+j)^(2))/(2)