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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name ' Lecturer in Statistics and Demography -Medical Education ' And exam conducted in the year 2021. And Question paper code was '062/2021'. Medium of question paper was in Malayalam or English . Booklet Alphacode was 'A'. 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.
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062/21
12 11
0241
If A= 2663 , then rank (A2) =
4603
A) 1 B) 2 03 D) 4
Let 000 denote the vector space of all real polynomials and T : 4a(x)— (×)م be the differential operator.
Then
A) Tis1-1 B) Tis onto
C) 715 diagonalizable D) T has no eigen values
Let P3(X) denote the vector space of all real polynomials of degree at most 3. Define
T : P3(X) 909 by TP(X) = P(2X). Then the matrix of T w.r-t. the basis (1, بک 22, x3) is
1000 0123
A) 0100 8) [1 2 3 0
0010 2301
00 0 1 | 012
1000 1000
010200 0) 1200
0040 0130
0008 | 014
Which of the following matrices is not diagonalizable over R ?
110 110 123 100
^ |0 10 8) [0 20 9023 0) 120
002 0 0 1 003 123
100
Let A=|0 2 OjandV={P(A), where P is a polynomial with real coefficients}. Then the dimension
002
of V over Ris
A) 4 B) 3 0) 2 0) 1
201
Let M=/1 1 4 | . Choose the correct expression for evaluating ۸۷
30
2
A) wt = ॥2-5। 8) M1 = ۸۸۵ + 5۸ - 51
©) ರ! ع ۸۸۶ - ۸۸-31 ഉ) ۸۸۹ - ۸۸۶ - 5۸۸ + 51
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