मराठी
तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएचएससी विज्ञान इयत्ता १२

Choose the correct alternative: If A = [3545x35] and AT = A–1, then the value of x is - Mathematics

Advertisements
Advertisements

प्रश्न

Choose the correct alternative:

If A = `[(3/5, 4/5),(x, 3/5)]` and AT = A–1, then the value of x is

पर्याय

  • `(-4)/5`

  • `(-3)/5`

  • `3/5`

  • `4/5`

MCQ

उत्तर

`(-4)/5`

shaalaa.com
Applications of Matrices: Solving System of Linear Equations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Applications of Matrices and Determinants - Exercise 1.8 [पृष्ठ ४९]

APPEARS IN

सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 12 TN Board
पाठ 1 Applications of Matrices and Determinants
Exercise 1.8 | Q 13 | पृष्ठ ४९

संबंधित प्रश्‍न

Solve the following system of linear equations by matrix inversion method:

2x + 5y = – 2, x + 2y = – 3


Solve the following system of linear equations by matrix inversion method:

2x – y = 8, 3x + 2y = – 2


Solve the following system of linear equations by matrix inversion method:

x + y + z – 2 = 0, 6x – 4y + 5z – 31 = 0, 5x + 2y + 2z = 13


Solve the following systems of linear equations by Cramer’s rule:

5x – 2y + 16 = 0, x + 3y – 7 = 0


Solve the following systems of linear equations by Cramer’s rule:

`3/2 + 2y = 12, 2/x + 3y` = 13


Solve the following systems of linear equations by Cramer’s rule:

3x + 3y – z = 11, 2x – y + 2z = 9, 4x + 3y + 2z = 25


Solve the following systems of linear equations by Cramer’s rule:

`3/x - 4/y - 2/z - 1` = 0, `1/x + 2/y + 1/z - 2` = 0, `2/x - 5/y - 4/z + 1` = 0


In a competitive examination, one mark is awarded for every correct answer while `1/4` mark is deducted for every wrong answer. A student answered 100 questions and got 80 marks. How many questions did he answer correctly? (Use Cramer’s rule to solve the problem).


An amount of ₹ 65,000 is invested in three bonds at the rates of 6%, 8% and 9% per annum respectively. The total annual income is ₹ 4,800. The income from the third bond is ₹ 600 more than that from the second bond. Determine the price of each bond. (Use Gaussian elimination method.)


A boy is walking along the path y = ax2 + bx + c through the points (– 6, 8), (– 2, – 12), and (3, 8). He wants to meet his friend at P(7, 60). Will he meet his friend? (Use Gaussian elimination method.)


Choose the correct alternative:

If `("AB")^-1 = [(12, -17),(-19, 27)]` and `"A"^-1 = [(1, -1),(-2, 3)]` then `"B"^-1` =


Choose the correct alternative:

If A = `[(1, tan  theta/2),(- tan theta/2, 1)]` and AB = I2, then B = 


Choose the correct alternative:

If A = `[(costheta, sintheta),(-sintheta, costheta)]` and A(adj A) = `[("k", 0),(0, "k")]`, then k =


Choose the correct alternative:

If A = `[(2, 3),(5, -2)]` be such that λA–1 = A, then λ is


Choose the correct alternative:

If 0 ≤ θ ≤ π and the system of equations x + (sin θ)y – (cos θ)z = 0, (cos θ) x – y + z = 0, (sin θ) x + y + z = 0 has a non-trivial solution then θ is


Choose the correct alternative:

The augmented matrix of a system of linear equations is `[(1, 2, 7, 3),(0, 1, 4, 6),(0, 0, lambda - 7, mu + 7)]`. This system has infinitely many solutions if


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×