Maths-

General

Easy

Question

# The element in the first row and third column of the inverse of the matrix is

- – 2
- 0
- 1
- 7

## The correct answer is: 7

### Let Þ |A| = 1

.

Hence,

Þ . Hence, element .

### Related Questions to study

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### If *A* and *B* are non-singular square matrices of same order, then is equal to

It is obvious.

### If *A* and *B* are non-singular square matrices of same order, then is equal to

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It is obvious.

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### If *d* is the determinant of a square matrix *A* of order *n*, then the determinant of its adjoint is

.

### If *d* is the determinant of a square matrix *A* of order *n*, then the determinant of its adjoint is

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.

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attacks only carbonyl group and reduce it into alcohol group. They do not attack on double bond.

### In the above sequence* X* can be

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attacks only carbonyl group and reduce it into alcohol group. They do not attack on double bond.

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### A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by where The refractive index of air is 1 The coordinates (x1, y(A) of the point P where the ray intersects the upper surface of the slabair boundary are

### A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by where The refractive index of air is 1 The coordinates (x1, y(A) of the point P where the ray intersects the upper surface of the slabair boundary are

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### A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by where The refractive index of air is 1 Equation for the trajectory y(x) of the ray in the medium is

### A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by where The refractive index of air is 1 Equation for the trajectory y(x) of the ray in the medium is

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### A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by where The refractive index of air is 1 The incident angle at B(x, y) in the medium and the slope at B are related by the formula

### A ray of light traveling in air is incident at grazing angle (Ð >i 90º) on a long rectangular slab of a transparent medium of thickness t = 1.0 m The point of incidence is the medium A (0, 0) The medium has a variable index of refraction n(y) given by where The refractive index of air is 1 The incident angle at B(x, y) in the medium and the slope at B are related by the formula

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### A point object ‘O’ is placed along x-axis An equi-convex thin lens of focal length f=20cm in air is placed so that its principal axis is along x-axis Now the lens is cut at the middle (along the principal axis) and upper half is shifted along x-axis and y-axis by 20cm and 2mm respectively and right side of lower half is filled with water co-ordinates of image formed by lenses are

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### An object is placed 20 cm in front of a plano– convex lens of focal length 15 cm The plane surface of the lens is silvered The image will be formed at a distance

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### Two thin convex lenses of focal lengths f_{1} and f_{2} are separated by a horizontal distance d and their centers are displaced by a vertical separation D as shown in the figure : Taking the origin of coordinates, O, at the center of the first lens, the x and y-coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by :

### Two thin convex lenses of focal lengths f_{1} and f_{2} are separated by a horizontal distance d and their centers are displaced by a vertical separation D as shown in the figure : Taking the origin of coordinates, O, at the center of the first lens, the x and y-coordinates of the focal point of this lens system, for a parallel beam of rays coming from the left, are given by :

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### For a convex lens, if real image is formed the graph between (u + v) andu or v is as follows

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