SOLUTION: Given: [2 6 ... [4 -6 ... [2 6 1 3] * -1 3] = 1 3] Is [4 -6 an identity matrix? ...-1 3] (I hope this is not confusing. It is read as (2 6 1 3) in a

Question 985695: Given:
[2 6 ... [4 -6 ... [2 6
1 3] * -1 3] = 1 3]
Is [4 -6 an identity matrix?
...-1 3]
(I hope this is not confusing. It is read as (2 6 1 3) in a 2x2 matrix times (4 -6 -1 3) in a 2x2 matrix)
Thank you.
Answer by ikleyn(52864) (Show Source): You can put this solution on YOUR website!

Your example is

x = ,

and your question is: Does it implies that the matrix is identical?

The answer is NO.

The matrix is not identical.

The operation of multiplication in matrices has different properties than multiplication in real or complex numbers.

In the real domain the equality a*b = b does imply a = 1 (if b is not zero).

In the matrix domain it is not so.

RELATED QUESTIONS
6(2/3[2 3 1/2[-4 2 6 -5 3 0 -1 0]+ 1 -8]) this is the... (answered by haileytucki)

Given that the matrix 𝑨 = [ 1 3 −2 −1 0 6 2 4 0 ] Find the matrix X, where... (answered by Edwin McCravy)

what is the determinant of the matrix B= 6 6 2 1 4 3 7 3 6 5 3 0 6 3 0 7... (answered by Fombitz)

what is 4 1/2 - 1/6 = 1... (answered by stanbon)

3(2-6)=... (answered by stanbon)

1/2+2/3+3/4-(4/5*5/6)= it is not a ratio... (answered by sofiyac)

1) suppose (x^2)+(y^2)=1 is a known identity. Determine if, under such assumption, the... (answered by Edwin McCravy,ikleyn,MathTherapy)

Given P = ( 3 0 2 2 1 2 -3 -4 -6 ) a) if ( 2 6 n -2 m 9 0 -2 1 ) is the... (answered by ElectricPavlov)

Hi, Can someone please review the following, I did the work I just want to make sure... (answered by Earlsdon)