Math Chapter Wise

EnglishUP PCS (Pre) 2009

Q401.The rank of the matrix 2 1 -1 0 3 -2 is 2 4 -3

A3 B1 C0 D2

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EnglishUP PCS (Pre) 2009

Q402.The system of linear equations x+y+z=0, 2x+y-z=0, 3x+2y=0 has

Ano solution Binfinitely many solutions Cunique solution Dnone of the above

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EnglishUP PCS (Pre) 2009

Q403.If A is a square matrix such that A3 =A, then det A is equal to

A1 only B0 only C-1 only D1, 0 or-1

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EnglishUP PCS (Pre) 2009

Q404.The value of the determinant a b 2c a b c b c 2a b c a c a 2b + +

A2(a3 + b3 + c3) B(a + b + c)3 C2(a + b + c)3 Da3 + b3 + c3 - abc

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EnglishUP PCS (Pre) 2009

Q405.The number of linearly independent solutions of the system of linear equations x+y+z = 0, x+2y = 0, y-z = 0 is

A3 B2 C1 D0

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English(GIC) 2015

Q406.If 3 2 A = 1 1 satisfies the equation 2 A + aA + bI = 0, then the values of a and b are

Aa = 1, b = –4 Ba = –4, b = 1 Ca = –1, b = 4 Da = 4, b = –1

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English(GIC) 2015

Q407.The number of 2× × ×2 real matrices A such that A2 = –I is

A0 B12 C16 Dinfinite

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EnglishUPPCS 2004 & 2007 (GIC) 2015

Q408.If A and B are square matrices of order 3 such that det A = –1 and det B=3 then det (3AB) is equal to

A–9 B–27 C–81 D81

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English(GIC) 2015

Q409.If the matrix AB = 0, then which one of the following is correct?

AA = 0 or B = 0 BA = 0 and B = 0 CIt is not neccessary that either A = 0 or B = 0 DNone of the above

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English(GIC) 2015

Q410.The solution of the equation a a x m m m =0 b x b is

Ax = a only Bx = b only Cx = a or x = b Dx = m/ x = m

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English(GIC) 2015

Q411.The value of determinant 2 1 x x 1 y y is 1 z z

A(x–y)(y–z)(z–x) B(x+y)(y+z)(z+x) C(x+y)(y–z)(z–x) D(x+y)(y+z)(z–x)

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EnglishGIC Lecturer Exam, 2015

Q412.If the matrices are as follows: a h g A = [xy z],B = h b f g f c and, x C = y z then order of ABC is given by

A3×1 B1×3 C1×1 D3×3

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English(GIC) 2015

Q413.If 1 0 A =, 1 1 then A+A–1 is equal to

A0 B1 C2A D2I

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English(GIC) 2015

Q414.If A is non–singular matrix of order 3× × ×3, then adj A is equal to

A3/A B2/A CA D0

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EnglishGIC 2015

Q415.If A is matrix of order 2× × ×2 and -1 1 2 A =, -1 2 then A is equal to

A1 1 2 2 1 1 4 4 − B1 1 4 2 1 1 4 2 − C1 1 2 2 1 1 4 4 − D1 1 4 2 1 1 4 2 −

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English(GIC) 2015

Q416.If 2x 0 A x x and 1 1 0 A 1 2 then x is equal to –

A1 B1/2 C1/2 D1

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EnglishGIC 2015 TGT 2013

Q417.The solution of the matrix equation– 2 1 3 x 9 1 1 1 y 6 is 1 1 1 z 2

Ax 1, y 2,z 3 Bx 0, y 1,z 2 Cx 2, y 1,z 0 Dx 3,y 2,z 1

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EnglishGIC Lecturer Exam, 2015

Q418.One solution of equation– 6 x 3 3 3 4 x 5 0 3 5 4 x is–

Ax 4 Bx 3 Cx 2 Dx 1

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EnglishGIC Lecturer Exam, 2015

Q419.If the matrix 0 1 2 1 0 3 3 0, is not invertible, then λ is equal to

A2 B1 C1 D2

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EnglishGIC Lecturer Exam, 2015

Q420.If α, β are the roots of the equation 2 2x 3x 5 0, then the value of the determinant 0 is–

A3/5 B15/4 C3/5 D15/4

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