Advertisements
Advertisements
प्रश्न
Find the rank of the following matrices
`((5, 6),(7, 8))`
उत्तर
Let A = `((5, 6),(7, 8))`
Order of A is 2 × 2
∴ p(A) ≤ 2
Consider the second order minor = `|(5, 6),(7, 8)|`
= 40 – 42
|A| = – 2 ≠ 0
There is a minor of order 2, which is not zero
p(A) = 2
APPEARS IN
संबंधित प्रश्न
Find the rank of the following matrices
`((-1, 2, -2),(4, -3, 4),(-2, 4, -4))`
Solve the following system of equations by rank method
x + y + z = 9, 2x + 5y + 7z = 52, 2x – y – z = 0
Show that the equations 5x + 3y + 7z = 4, 3x + 26y + 2z = 9, 7x + 2y + 10z = 5 are consistent and solve them 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:
If A = `((2, 0),(0, 8))`, then p(A) is
Choose the correct alternative:
The rank of the unit matrix of order n is
Choose the correct alternative:
If A = `((1),(2),(3))` then the rank of AAT is
Choose the correct alternative:
The rank of the diagonal matrix `[(1, , , , ,),(, 2, , , ,),(, , -3, , ,),(, , , 0, ,),(, , , , 0,),(, , , , ,0)]`
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))`
