Maths-

General

Easy

Question

# Let A be a matrix with non‐zero entries and let , where I is identity matrix Defi ne Tr(A) of diagonal elements and determinant of matrix A

Statement 1: Tr(A)

Statement 2:

- Statement1 is true, Statement2 is true; Statement2 is a correct explanation for Statement1.
- Statement1 is true, Statement2 is true; Statement2 is not a correct explanation for statement1
- Statement1 is true, Statement2 is false.
- Statement1 is false, Statement2 is true.

## The correct answer is: Statement1 is true, Statement2 is false.

### Let A be a matrix with non‐zero entries and let , where I is identity matrix Defi ne Tr(A) of diagonal elements and determinant of matrix A

From the given statements

Statement 1: Tr(A)

Statement 2:

It is clearly observed that Statement 1 is true and Statement 2 is false

Hence option C is suitable option

### Related Questions to study

maths-

### If A and I , then which one of the following holds for all , (by the principal of mathematical induction)

### If A and I , then which one of the following holds for all , (by the principal of mathematical induction)

maths-General

maths-

### The equation has a solution for (x, y, z) besides (0,0,0) The value of k equals

### The equation has a solution for (x, y, z) besides (0,0,0) The value of k equals

maths-General

maths-

### If , then

### If , then

maths-General

maths-

### Matrix A is such that , where I is the identity matrix The for

### Matrix A is such that , where I is the identity matrix The for

maths-General

maths-

### Statement‐I:: If is increasing function with concavity upwards, then concavity of is also upwards

Statement‐II:: If is decreasing function with concavity upwards, then concavity of is also upwards.

### Statement‐I:: If is increasing function with concavity upwards, then concavity of is also upwards

Statement‐II:: If is decreasing function with concavity upwards, then concavity of is also upwards.

maths-General

maths-

### Statement‐I:: , where is Napiersconstant.

Statement‐II:: If f and is positive , then increases with concavity up and any chord lies above the curve.

### Statement‐I:: , where is Napiersconstant.

Statement‐II:: If f and is positive , then increases with concavity up and any chord lies above the curve.

maths-General

maths-

### The beds of two rivers (within a certain region) are a parabola and a straight line y=x-2 These rivers are to be connected by a straight canal The coordinates of the ends of the shortest canal can be:

### The beds of two rivers (within a certain region) are a parabola and a straight line y=x-2 These rivers are to be connected by a straight canal The coordinates of the ends of the shortest canal can be:

maths-General

maths-

### If f(x) is twice differentiable function f((1)=1, f(2)=4, f(3)=9

### If f(x) is twice differentiable function f((1)=1, f(2)=4, f(3)=9

maths-General

maths-

### If f(x) , then f(x)

### If f(x) , then f(x)

maths-General

maths-

### The set of value (s) of ’for which the function possess anegative point of inflection‐

### The set of value (s) of ’for which the function possess anegative point of inflection‐

maths-General

Maths-

### The greatest, the least values of the function, are respectively

Hence the final answer is (2,0)

### The greatest, the least values of the function, are respectively

Maths-General

Hence the final answer is (2,0)

Maths-

### Suppose that is differentiable for allx and that for all x If and f(4)=8 then f(2) has the value equal to

Hence f(2)=4 is the suitable option

### Suppose that is differentiable for allx and that for all x If and f(4)=8 then f(2) has the value equal to

Maths-General

Hence f(2)=4 is the suitable option

maths-

### dxthenfis‐

### dxthenfis‐

maths-General

Maths-

### The tangent to the curve at (1,1) meets the curve again at the point‐

The final answer is option B

### The tangent to the curve at (1,1) meets the curve again at the point‐

Maths-General

The final answer is option B

physics-

### If the number of images that are formed between two mirrors are 6, then the angle between them is:

### If the number of images that are formed between two mirrors are 6, then the angle between them is:

physics-General