मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी वाणिज्य इयत्ता १२

Choose the correct alternative: If the rank of the matrix [λ-100λ-1-10λ] is 2, then λ is - Business Mathematics and Statistics

Advertisements
Advertisements

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

MCQ

उत्तर

1

shaalaa.com
Rank of a Matrix
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Applications of Matrices and Determinants - Exercise 1.4 [पृष्ठ २१]

APPEARS IN

सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 1 Applications of Matrices and Determinants
Exercise 1.4 | Q 9 | पृष्ठ २१

संबंधित प्रश्‍न

Find the rank of the following matrices

`((1, 2, -1, 3),(2, 4, 1, -2),(3, 6, 3, -7))`


Show that the following system of equations have unique solutions: x + y + z = 3, x + 2y + 3z = 4, x + 4y + 9z = 6 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:

Which of the following is not an elementary transformation?


Choose the correct alternative:

If p(A) = p(A, B)= the number of unknowns, then the system is


Choose the correct alternative:

If the number of variables in a non-homogeneous system AX = B is n, then the system possesses a unique solution only when


Choose the correct alternative:

If |A| ≠ 0, then A is


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 ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×