Home » Given that I3 is a unit matrix of order 3, find |I3|

Given that I3 is a unit matrix of order 3, find |I3|

Given that I3 is a unit matrix of order 3, find |I3|
  • A.
    -1
  • B.
    O
  • C.
    1
  • D.
    2
Correct Answer: Option C
Explanation

Recall that a unit matrice is a diagonal matrix in which the elements in the leading diagonal is unity. Therefore,
I3 = (begin{pmatrix} 1 & 0 & 0 \ 0 & 1 & 0 \ 0 & 0 & 1 end{pmatrix})
I3 = (+1begin{vmatrix} 1 & 0 \ 0 & 1 end{vmatrix} – 0begin{vmatrix} 0 & 0 \ 0 & 1 end{vmatrix} + 0 begin{vmatrix} 0 & 1 \ 0 & 0 end{vmatrix} )
I3 = +1(1 – 0) – 0(0 – 0) + 0(0 – 0)
= 1(1)
= 1

There is an explanation video available below.

Explanation Video

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