Question

Suppose that the matrix A is an "almost identity". The columns 1, 3, 4,..., n are...

Suppose that the matrix A is an "almost identity". The columns 1, 3, 4,..., n are the vectors e_1, e_2, e_3,...,e_n respectively. But, the second column is some vector

a12
a22
a32
...
an2

with a_22 not equal to 0. Find a formula for the matrix A and find a formula for the matrix A-1

Homework Answers

Answer #1

here we have to form matrix A in which the columns 1,3,4,........ are the vectors e1,e2,.........en

here e1={1,0,0,.......,0}

e2={0,1,0,0,........,0} and en={0.0.0...............,1}

but the second column is the vector {a12,a22,.........,an2} with a22 not equal to zero

then matrix will look like as acc to the statement

A =

where a is not equal to zero

and if we put a1=a2=a3=......=an=0 then we get the "almost identity" matrix

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