Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
If p(A) = r then which of the following is correct?
विकल्प
All the minors of order r which does not vanish
A has at least one minor of order r which does not vanish
A has at least one (r + 1) order minor which vanishes
All (r + 1) and higher order minors should not vanish
Advertisements
उत्तर
A has at least one minor of order r which does not vanish
APPEARS IN
संबंधित प्रश्न
Find the rank of the following matrices
`((1, 4),(2, 8))`
Find the rank of the following matrices
`((3, 1, -5, -1),(1, -2, 1, -5),(1, 5, -7, 2))`
Find the rank of the following matrices
`((1, -2, 3, 4),(-2, 4, -1, -3),(-1, 2, 7, 6))`
Show that the following system of equations have unique solutions: x + y + z = 3, x + 2y + 3z = 4, x + 4y + 9z = 6 by rank method
The price of three commodities, X, Y and Z are and z respectively Mr. Anand purchases 6 units of Z and sells 2 units of X and 3 units of Y. Mr.Amar purchases a unit of Y and sells 3 units of X and 2 units of Z. Mr. Amit purchases a unit of X and sells 3 units of Y and a unit of Z. In the process they earn ₹ 5,000/-, ₹ 2,000/- and ₹ 5,500/- respectively. Find the prices per unit of three commodities by rank method
Choose the correct alternative:
The rank of the matrix `((1, 1, 1),(1, 2, 3),(1, 4, 9))` is
Choose the correct alternative:
For the system of equations x + 2y + 3z = 1, 2x + y + 3z = 3, 5x + 5y + 9z = 4
Choose the correct alternative:
If `|"A"_("n" xx "n")|` = 3 and |adj A| = 243 then the value n is
Find the rank of the matrix
A = `((-2, 1, 3, 4),(0, 1, 1, 2),(1, 3, 4, 7))`
Let S be the set of all λ ∈ R for which the system of linear equations
2x – y + 2z = 2
x – 2y + λz = –4
x + λy + z = 4
has no solution. Then the set S ______.
