Advertisements
Advertisements
प्रश्न
Choose the correct alternative:
The rank of the unit matrix of order n is
विकल्प
n – 1
n
n + 1
n2
उत्तर
n
APPEARS IN
संबंधित प्रश्न
Find the rank of the following matrices
`((5, 6),(7, 8))`
If A = `((1, 1, -1),(2, -3, 4),(3, -2, 3))` and B = `((1, -2, 3),(-2, 4, -6),(5, 1, -1))`, then find the rank of AB and the rank of BA.
An amount of ₹ 5,000/- is to be deposited in three different bonds bearing 6%, 7% and 8% per year respectively. Total annual income is ₹ 358/-. If the income from the first two investments is ₹ 70/- more than the income from the third, then find the amount of investment in each bond by the rank method
Choose the correct alternative:
If p(A) = r then which of the following is correct?
Choose the correct alternative:
If p(A) = p(A,B)= then the system is
Choose the correct alternative:
If |A| ≠ 0, then A is
Find the rank of the matrix
A = `((-2, 1, 3, 4),(0, 1, 1, 2),(1, 3, 4, 7))`
Examine the consistency of the system of equations:
x + y + z = 7, x + 2y + 3z = 18, y + 2z = 6
Find k if the equations x + y + z = 1, 3x – y – z = 4, x + 5y + 5z = k are inconsistent
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 ______.
