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प्रश्न
Choose the correct alternative:
If the rank of the matrix `[(lambda, -1, 0),(0, lambda, -1),(-1, 0, lambda)]` is 2, then λ is
पर्याय
1
2
3
only real number
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उत्तर
1
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संबंधित प्रश्न
Find the rank of the following matrices
`((2, -1, 1),(3, 1, -5),(1, 1, 1))`
Find the rank of the following matrices
`((1, 2, -1, 3),(2, 4, 1, -2),(3, 6, 3, -7))`
Find the rank of the following matrices
`((3, 1, -5, -1),(1, -2, 1, -5),(1, 5, -7, 2))`
For what values of the parameter λ, will the following equations fail to have unique solution: 3x – y + λz = 1, 2x + y + z = 2, x + 2y – λz = – 1
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 A = `((2, 0),(0, 8))`, then p(A) is
Choose the correct alternative:
Rank of a null matrix is
Find the rank of the matrix
A = `((-2, 1, 3, 4),(0, 1, 1, 2),(1, 3, 4, 7))`
Find the rank of the matrix
A = `((4, 5, 2, 2),(3, 2, 1, 6),(4, 4, 8, 0))`
Examine the consistency of the system of equations:
x + y + z = 7, x + 2y + 3z = 18, y + 2z = 6
