Kerala PSC Previous Years Question Paper & Answer
Page:21
Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Statistician' And exam conducted in the year 2023. And Question paper code was '021/2023/OL'. Medium of question paper was in Malayalam or English . Booklet Alphacode was ''. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.
B:-57
C:-1710
D:-None of the above
Correct Answer:- Option-C
Question97:-Suppose A is an idempotent matrix of order n then which of the
following statements
are true ?
(i) ൧ = A for being a positive integer
(ii) A-l is idempotent
(iii) I-A is Idempotent
(iv) Rank (A) = trace (A)
A:-All the above (i, ii, iii and iv)
B:-Only (i, ii and iii)
C:-Only (iii and iv)
D:-Only (i, iii and iv)
Correct Answer:- Option-D
2 2 0
2 1 1
Question98:-Suppose A = (-7 2 —3! find the eigenvalues of 4४
A:-1, 3, -4
B:-1, 81, 256
C:-2,1, -3
0:-1, 9, 16
Correct Answer:- Option-B
112
0 1 |
Question99:-Consider the matrix A= !0 0 2], What is the Geometric multiplicity
and algebraic multiplicity of eigenvalue one ?
A:-1 and 2 respectively
B:-2 and 1 respectively
C:-1 and 1 respectively
D:-2 and 2 respectively
Correct Answer:- Option-A
100
0 0 0
Question100:-Suppose A = (0 0 2
(i) Ais positive definite matrix
(ii) A is positive semi definite matrix
(iii) Ais non negative definite matrix
(iv) Quadratic form corresponding to matrix A is 21428
, which of the following statements is/are true ?
A:-Only (iv) is true