Advertisements
Advertisements
प्रश्न
Find the rank of the matrix
A = `((1, -3, 4, 7),(9, 1, 2, 0))`
Advertisements
उत्तर
`((1, -3, 4, 7),(9, 1, 2, 0))`
The order of A is 2 × 4
∴ P(A) ≤ 2
Let us transform the matrix A to an echelon form
| Matrix | Elementary Transformation |
| A = `[(1, -3, 4, 7),(9, 1, 2, 0)]` | |
| `∼ [(11, 3, 4, 7),(0, 28, -34, -63)]` | `{:"R"_2 ↔ "R"_2 - 9"R"_1:}` |
The number of non-zero rows is 2
∴ P(A) = 2
APPEARS IN
संबंधित प्रश्न
Find the rank of the following matrices
`((5, 6),(7, 8))`
Find the rank of the following matrices
`((1, -1),(3, -6))`
Find the rank of the following matrices
`((-1, 2, -2),(4, -3, 4),(-2, 4, -4))`
Find the rank of the following matrices
`((3, 1, -5, -1),(1, -2, 1, -5),(1, 5, -7, 2))`
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
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:
If the rank of the matrix `[(lambda, -1, 0),(0, lambda, -1),(-1, 0, lambda)]` is 2, then λ is
Choose the correct alternative:
The rank of the diagonal matrix `[(1, , , , ,),(, 2, , , ,),(, , -3, , ,),(, , , 0, ,),(, , , , 0,),(, , , , ,0)]`
Find the rank of the matrix
A = `((-2, 1, 3, 4),(0, 1, 1, 2),(1, 3, 4, 7))`
