JEE Main 2021 (Online) 25th July Morning Shift | Matrices and Determinants Question 155 | Mathematics

The values of $$\lambda$$ and $$\mu$$ such that the system of equations $$x + y + z = 6$$, $$3x + 5y + 5z = 26$$, $$x + 2y + \lambda z = \mu $$ has no solution, are :

$$\lambda$$ = 3, $$\mu$$ = 5

$$\lambda$$ = 3, $$\mu$$ $$\ne$$ 10

$$\lambda$$ $$\ne$$ 2, $$\mu$$ = 10

$$\lambda$$ = 2, $$\mu$$ $$\ne$$ 10

JEE Main 2021 (Online) 22th July Evening Shift

MCQ (Single Correct Answer)

-1

Let A = [a_ij] be a real matrix of order 3 $$\times$$ 3, such that a_i1 + a_i2 + a_i3 = 1, for i = 1, 2, 3. Then, the sum of all the entries of the matrix A³ is equal to :

JEE Main 2021 (Online) 20th July Evening Shift

MCQ (Single Correct Answer)

-1

The value of k $$\in$$R, for which the following system of linear equations

3x $$-$$ y + 4z = 3,

x + 2y $$-$$ 3z = $$-$$2

6x + 5y + kz = $$-$$3,

has infinitely many solutions, is :

$$-$$5

$$-$$3

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