Advertisements
Advertisements
Question
Choose the correct alternative:
If |A| ≠ 0, then A is
Options
non-singular matrix
singular matrix
zero matrix
none of these
Advertisements
Solution
non-singular matrix
APPEARS IN
RELATED QUESTIONS
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.
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
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:
A = (1, 2, 3), then the rank of AAT is
Choose the correct alternative:
If A = `((2, 0),(0, 8))`, then p(A) is
Choose the correct alternative:
The rank of the matrix `((1, 1, 1),(1, 2, 3),(1, 4, 9))` is
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:
The system of equations 4x + 6y = 5, 6x + 9y = 7 has
