Maths-
General
Easy
Question
Statement I : Trace of matrix A = 
is equal to a11 + a22 + a33
Statement II : Trace of a matrix is equal to sum of its diagonal elements.
- If both (A) and (R) are true, and (R) is the correct explanation of (A).
- If both (A) and (R) are true but (R) is not the correct explanation of (A).
- If (A) is true but (R) is false.
- If (A) is false but (R) is true.
The correct answer is: If both (A) and (R) are true, and (R) is the correct explanation of (A).
Statement I : Trace of matrix A = is equal to a11 + a22 + a33
Statement II : Trace of a matrix is equal to sum of its diagonal elements.
The trace of a square matrix is the sum of its diagonal entries.
Therefore, both Statement I and Statement Il are true, and Statement Il is the correct explanation of Statement I.
The trace has several properties that are used to prove important results in matrix algebra and its applications.
Let A and B be two K X K matrices. Then,![[eq8]](https://www.statlect.com/images/trace-of-a-matrix__13.png){kind=small}
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