Home/Class 12/Maths/

Question and Answer

Find the minor of element 6 in the determinant \(\Delta=\left|\begin{array}{lll} {1} & {2} & {3} \\ {4} & {5} & {6} \\ {7} & {8} & {9} \end{array}\right|\)
loading
settings
Speed
00:00
01:58
fullscreen

Question
MathsClass 12

Find the minor of element 6 in the determinant \(\Delta=\left|\begin{array}{lll} {1} & {2} & {3} \\ {4} & {5} & {6} \\ {7} & {8} & {9} \end{array}\right|\)

Answer

Since 6 lies in the second row and third column, its minor M23 is given by
\(\mathrm{M}_{23}=\left|\begin{array}{ll} {1} & {2} \\ {7} & {8} \end{array}\right|\) = 8 – 14 = – 6 (obtained by deleting R2 and C3 in \(\Delta\))
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
To Keep Reading This Answer, Download the App
4.6
star pngstar pngstar pngstar pngstar png
Review from Google Play
Correct47
Incorrect0
Still Have Question?
Ask Your QuestionFind More Answer
Watch More Related Solutions
If area of triangle is 35 sq units with vertices (2, -6), (5, 4) and (k, 4). Then k is
  • -12, -2
  • 12
  • 12, -2
  • -2
If area of triangle is 35 sq units with vertices (2, -6), (5, 4) and (k, 4). Then k is
  • -12, -2
  • 12
  • 12, -2
  • -2
Math|Class 12
Use product  \(\left[\begin{array}{ccc} {1} & {1} & {2} \\ {0} & {2} & {3} \\ {3} & {2} & {4} \end{array}\right]\left[\begin{array}{ccc} {2} & {0} & {1} \\ {9} & {2} & {3} \\ {6} & {1} & {2} \end{array}\right]\)to solve the system of equation
 x – y + 2z = 1, 2y – 3z = 1, 3x – 2y + 4z = 2
Use product  \(\left[\begin{array}{ccc} {1} & {1} & {2} \\ {0} & {2} & {3} \\ {3} & {2} & {4} \end{array}\right]\left[\begin{array}{ccc} {2} & {0} & {1} \\ {9} & {2} & {3} \\ {6} & {1} & {2} \end{array}\right]\)to solve the system of equation
 x – y + 2z = 1, 2y – 3z = 1, 3x – 2y + 4z = 2
Math|Class 12
Let A be a square matrix of order 3 \(\times\) 3, then | kA| is equal to
  • k2 | A |
  • k |A |
  • k3 | A |
  • 3k | A |
Let A be a square matrix of order 3 \(\times\) 3, then | kA| is equal to
  • k2 | A |
  • k |A |
  • k3 | A |
  • 3k | A |
Math|Class 12
Let A = \(\left[\begin{array}{ccc} {1} & {2} & {1} \\ {2} & {3} & {1} \\ {1} & {1} & {5} \end{array}\right]\). verify that \([adj A] ^{–1} = adj (A ^{–1})\)
Let A = \(\left[\begin{array}{ccc} {1} & {2} & {1} \\ {2} & {3} & {1} \\ {1} & {1} & {5} \end{array}\right]\). verify that \([adj A] ^{–1} = adj (A ^{–1})\)
Math|Class 12
If a, b, c, are in A.P, then the determinant
\(\left|\begin{array}{ccc} {x+2} & {x+3} & {x+2 a} \\ {x+3} & {x+4} & {x+2 b} \\ {x+4} & {x+5} & {x+2 c} \end{array}\right|\) is
  • 1
  • 2x
  • x
  • 0
If a, b, c, are in A.P, then the determinant
\(\left|\begin{array}{ccc} {x+2} & {x+3} & {x+2 a} \\ {x+3} & {x+4} & {x+2 b} \\ {x+4} & {x+5} & {x+2 c} \end{array}\right|\) is
  • 1
  • 2x
  • x
  • 0
Math|Class 12
By using properties of determinants, show that \(\left| {\begin{array}{*{20}{c}} {{a^2} + 1}&{ab}&{ac} \\ {ab}&{{b^2} + 1}&{bc} \\ {ca}&{cb}&{{c^2} + 1} \end{array}} \right| = 1 + {a^2} + {b^2} + {c^2}\)
By using properties of determinants, show that \(\left| {\begin{array}{*{20}{c}} {{a^2} + 1}&{ab}&{ac} \\ {ab}&{{b^2} + 1}&{bc} \\ {ca}&{cb}&{{c^2} + 1} \end{array}} \right| = 1 + {a^2} + {b^2} + {c^2}\)
Math|Class 12
Examine the consistency of the system of equation x + 2y = 2; 2x + 3y = 3
Examine the consistency of the system of equation x + 2y = 2; 2x + 3y = 3
Math|Class 12
Find the inverse of the matrix (if it exists) given \(\left[ {\begin{array}{*{20}{c}} { - 1}&5 \\ { - 3}&2 \end{array}} \right]\)
Find the inverse of the matrix (if it exists) given \(\left[ {\begin{array}{*{20}{c}} { - 1}&5 \\ { - 3}&2 \end{array}} \right]\)
Math|Class 12
Examine the consistency of the system of equation \(2x - y = 5;\,\,x + y = 4\)
Examine the consistency of the system of equation \(2x - y = 5;\,\,x + y = 4\)
Math|Class 12
For the matrix \(A = \left[ {\begin{array}{*{20}{c}} 3&2 \\ 1&1 \end{array}} \right]\), find numbers a and b such that A2 + aA + bI = 0.
For the matrix \(A = \left[ {\begin{array}{*{20}{c}} 3&2 \\ 1&1 \end{array}} \right]\), find numbers a and b such that A2 + aA + bI = 0.
Math|Class 12

Load More

More Solution Recommended For You
NCERT Maths for Class 6
NCERT Physics for Class 6
NCERT Chemistry for Class 6
NCERT Biology for Class 6
NCERT Maths for Class 7
NCERT Physics for Class 7
NCERT Chemistry for Class 7
NCERT Biology for Class 7
NCERT Maths for Class 8
NCERT Physics for Class 8
NCERT Chemistry for Class 8
NCERT Biology for Class 8
Previous
Next