Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Matrices

Question:

if A = \(\left[\matrix{2&-3\\4&1}\right]\) then what is the value of A+A' ?

Options:

\(\left[\matrix{4&1\\1&2}\right]\)

\(\left[\matrix{4&1\\4&1}\right]\)

\(\left[\matrix{4&1\\2&1}\right]\)

\(\left[\matrix{2&1\\4&1}\right]\)

Correct Answer:

\(\left[\matrix{4&1\\1&2}\right]\)

Explanation:

A' = \(\left[\matrix{2&4\\-3&1}\right]\)

A + A' = \(\left[\matrix{2&-3\\4&1}\right]\) + \(\left[\matrix{2&4\\-3&1}\right]\)

A + A' = \(\left[\matrix{2+2&-3+4\\4+(-3)&1+1}\right]\)

A + A' = \(\left[\matrix{4&1\\1&2}\right]\)