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Syllabus

prove that: determinant | a b c a^2 b^2 c^2 bc ca ab|= (a-b)(b-c)(c-a)(ab+bc+ca)

For what value if x matrix A= [ x-1 1 1 1 x-1 1 1 1 x-1]is singular matrixx?

using the properties of determinants, solve for x: |a+x a-x a-x a-x a+x a-x a-x a-x a+x| = 0

for a system of linear equations we know that if (adjA )B = 0 THEN THE SYSTEM MAY OR

MAY NOTBE CONSISTENT.Discuss when it will become consistent and when inconsistent. is it necessary that if consistent than infinitely many solutions will be occurring in the above case?Urgent!!!!!

If p,q,r are not in G.P an d if detminant of given matrix is zero [ 1 q/p α+q/p 1 r/q α +r/q pα+q qα+r 0]then prove that pα^2+2pα+r=0

show that the following determinant vanishes:

| a-b b-c c-a b-c c-a a-b c-a a-b b-c|

Q) If a,b,c are the roots of the equation x*3+px+q=0,then find out the value of determinant.1+a 1 11 1+b 11 1 1+c.

log

_{3}512 log_{4}3log

_{3}8 log_{4}9^{2}2x 1 | is a perfect square1 x

^{2 }2x2x 1 x

^{2}determinant - 67 19 21

39 13 14

81 24 26evaluate this ??

In IIT-JEE notes, determinanat chapter in which 2nd topic is "Properties of Determinants", where there are some videos in the ending of this topic regarding some question solving in that the 2nd video is about to find the value of the deteminant by given roots which i am not getting. So, kindly see that and help me.

^{2}B| is independent of .........|Sin A Cos A Sin B |

|-Cos A Sin A CosB |

Evaluate the following determinant :

1 4 9

4 9 16

9 16 25

if w is not equal to 1 then |A|= | 1 1+i+w

^{2 }w^{2}|| 1-i -1 w

^{2}-1|| -i -1+w-i -1 |

If A is an invertible matrix of order 3 and det(A)=5. then find det(adj A).

What is complex cube root of unity?

(1) zero (2) one (c) two (d) infinite

Respected sir/mam,

I am not getting the 2nd question(MCQ) video which is shown in the topic " Properties of determinants".

The question is like roots of a deteminanat is given and we have to find the values of the deteminant...???

so..plz kindly help me...!!!

prove, using the properties of determinants:

The system of equations

2x - y + z = 0

x - 2y + z = 0

λx y + 2z = 0

has infinite number of nontrivial solutions for

he system of equations

2x - y + z = 0

x - 2y + z = 0

λx - y + 2z = 0

has infinite number of nontrivial solutions for

1.(k,0),(4,0),(0,2) 2.(-2,0),(0,4) ,(0,k)

Prove that 1 1+p 1+p+q

2 3+2p 1+3p+2q = 1

3 6+3p 1+6p+3q

given u+v=-(av+1), u+2v=-a(v-1)+1, 3u+8v=a+2

Let A be a non singular matrix of order 3 then det(adjA) is ?

Prove that the value of the determinant is real -7 5 + 3i 2/3 - 4i

5 - 3i 8 4 + 5i

2/3 + 4i 4 - 5i 9

great excuser faculty which always any time making excuses that due to paucity of time unable to solve ur query i dont lke this type of great excuse

solve my doubt

if a,b,c r positive and unequal show that this value is negative 3abc-( a cube+ b cube + c cube )

2- how to find adjoint of a and explain the best another way of solving this question example 32 of miscellaneous of ncert

explain singular and nonsingular matrix

Q15. If $P=\left|\begin{array}{ccc}2& 1& 0\\ 3& 1& 2\\ 5& 2& 3\end{array}\right|$, then $\left|\begin{array}{ccc}2& 2& 0\\ 9& 6& 6\\ 5& 4& 3\end{array}\right|$ is equal to

(a) 2P

(b) 3P

(c) 5P

(d) 6P

Q.

Plzzz EXPLAIN...quickly. I need it urgently........

Q15). If $\left|\begin{array}{ccc}y+z& x& x\\ y& z+x& y\\ z& z& x+y\end{array}\right|=k\left(xyz\right)$, then k is equal to

(a) 4

(b) - 4

(c) zero

(d) none of these

a q c =0 ,find the value of a/(p - a)+b/(q - b)+r/(r - c) ,(p!=a,q!=b,r!=c).

a b r

Help me soon .Thank you

The system of equations

2x - y + z = 0

x - 2y + z = 0

λx - y + 2z = 0

has infinite number of nontrivial solutions for

prove, using the properties of determinants:

this q. is from iit meritnation ,practice question of determinant in maths.I can not be able to unterstand this question solution.so answere it in simple method.

Q.

det(A

^{-1}) = ?A) I B) 1/detA

prove, using the properties of determinants:

Q.

Plzzz EXPLAIN...quickly. I need it urgently........

Please help soon.

Thank You.

when we say solution of a system of equation is

trivialwhat does it mean? is it same as unique solution?For the matrix A = [ 2 -1 1 -1 2 -1 1 -1 2] verify that A^3 - 6A^2 + 9A - 4I = 0, Hence find A

^{-1}can there be a function which is discontinuous at a point but differentiable at that point? explain giving examples?

prove, using the properties of determinants:

WHAT IS THE RELATIONSHIP BETWEEN THE

DETERMINANT OF A SQUARE AND INVERTIBLE MATRIX OF ORDER 3 AND ITS INVERSE? EXPLAIN HOW AND WITH EXAMPLES.1.Can a determinant problem have different answers as per individual approach?

2.When to understand that a determinant will end up giving zero as the answer and some other value as the answer? Its tough to decipher this fact from the question saying "Evalute". Some problems give zero after evaluation while some others give values..

Will you Pls Help me out..

Do only square matrices have a MINOR ?

Please clear my doubt as soon as possible .

Thank You .

(b+c)

^{2}a^{2}a^{2}b

^{2}(c+a)^{2}b^{2}c

^{2}c^{2}(a+b)^{2}equals to 2abc(a+b+c)

^{3}Prove, using the properties of determinants:

^{}c^2ab| = (a-b) (b-c) (c-a) (a + b + c)(a^2+b^2+c^2)Please explain the folloeing property of determinan with a suitable example :

the value of the determinant remains same, if we apply the operationR_{i}→R_{i}+kR_{j}orC_{i}→C_{i}+kC_{j}. That is,PLEASE HELP SOON.

THANK YOU

If the H.M ofxandyis 2 then show that the points A (x, 2x), B(2y,y) and C(3, 3) are collinear.

What is H.M here ?prove, using the properties of determinants:

If the area of a triangle is given, then both positive and negative values of the determinant are used for calculation.why?