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Maths-

General

Easy

Question

If A = $open square brackets table row 4 2 row cell negative 1 end cell 1 end table close square brackets$ then (A– 2I) (A – 3I) equals-

A²+ 6I
I
Zero matrix
None of these

The correct answer is: Zero matrix

Related Questions to study

If A = $open square brackets table row 1 2 row 2 3 end table close square brackets$ and A² – KA– I₂ = 0, then value of K is-

If A = $open square brackets table row 1 2 row 2 3 end table close square brackets$ and A² – KA– I₂ = 0, then value of K is-

If A = $open square brackets table row 1 k row 0 1 end table close square brackets$ then Aⁿequal to-

If A = $open square brackets table row 1 k row 0 1 end table close square brackets$ then Aⁿequal to-

If A and B are two matrix of same order then A² – B² = (A + B) (A – B) correct statement is-

If A and B are two matrix of same order then A² – B² = (A + B) (A – B) correct statement is-

parallel

If A = $open square brackets table row 1 1 row 0 1 end table close square brackets$ then Aⁿ =

If A = $open square brackets table row 1 1 row 0 1 end table close square brackets$ then Aⁿ =

If A = $open square brackets table row 1 alpha row 0 1 end table close square brackets$ , then A⁴ is equal to-

If A = $open square brackets table row 1 alpha row 0 1 end table close square brackets$ , then A⁴ is equal to-

If A = $open square brackets table row 0 1 row 0 0 end table close square brackets$ , I is the unit matrix of the order two & a, b are arbitrary constant then
(aI + bA)²=

If A = $open square brackets table row 0 1 row 0 0 end table close square brackets$ , I is the unit matrix of the order two & a, b are arbitrary constant then
(aI + bA)²=

parallel

If AB = C; then A, B, C are-

If AB = C; then A, B, C are-

The magnitude of I in ampere is

The magnitude of I in ampere is

physics-General

A cord of length 64 m is used to connect a 100 kg astronaut to a space-ship whose mass is much larger than that of the astronaut. Estimate the value of the tension in the cord. Assume that the space-ship is orbiting near earth surface. Also assume that the space-ship and the astronaut fall on a straight line from the earth’s centre. The radius of the earth is 6400 km.

A cord of length 64 m is used to connect a 100 kg astronaut to a space-ship whose mass is much larger than that of the astronaut. Estimate the value of the tension in the cord. Assume that the space-ship is orbiting near earth surface. Also assume that the space-ship and the astronaut fall on a straight line from the earth’s centre. The radius of the earth is 6400 km.

physics-General

parallel

If for a matrix A, A³ = I then A^–1 equals -

If for a matrix A, A³ = I then A^–1 equals -

The temperature of the two outer surfaces of a composite slab, consists of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x respectively $text are end text T subscript 2 end subscript text end text$ and $text end text T subscript 1 end subscript open parentheses T subscript 2 end subscript greater than T subscript 1 end subscript close parentheses$
The rate of heat transfer through slab, in a steady state is $open square brackets fraction numerator A open parentheses T subscript 2 end subscript minus T subscript 1 end subscript close parentheses K over denominator x end fraction close square brackets f$ with f equals to

The temperature of the two outer surfaces of a composite slab, consists of two materials having coefficients of thermal conductivity K and 2K and thickness x and 4x respectively $text are end text T subscript 2 end subscript text end text$ and $text end text T subscript 1 end subscript open parentheses T subscript 2 end subscript greater than T subscript 1 end subscript close parentheses$
The rate of heat transfer through slab, in a steady state is $open square brackets fraction numerator A open parentheses T subscript 2 end subscript minus T subscript 1 end subscript close parentheses K over denominator x end fraction close square brackets f$ with f equals to

physics-General

Three rods of material x and three rods of material y are connected as shown in figure all the rods are of identical length and cross section If the end A is maintained at 60 $degree$ C and the junction E at 10 $degree$ C, find effective Thermal Resistance Given length of each rod=l, area of cross-section=A, conductivity of x=K and conductivity of y=2K

Three rods of material x and three rods of material y are connected as shown in figure all the rods are of identical length and cross section If the end A is maintained at 60 $degree$ C and the junction E at 10 $degree$ C, find effective Thermal Resistance Given length of each rod=l, area of cross-section=A, conductivity of x=K and conductivity of y=2K

physics-General

parallel

One end of a copper rod of uniform cross section and of length 1.5m is kept in contact with ice and the other end with water at 100 $degree$ C At what point along its length should a temperature of 200 $degree$ C be maintained so that in steady sate, the mass of ice melting be equal to that of the steam produced in same interval of time? Assume that the whole system is insulated from surroundings $open parentheses L subscript text ice end text end subscript equals 80 c a l divided by g m close text end text$ and $text end text open L subscript text steam end text end subscript equals 540 c a l divided by g m close parentheses$

One end of a copper rod of uniform cross section and of length 1.5m is kept in contact with ice and the other end with water at 100 $degree$ C At what point along its length should a temperature of 200 $degree$ C be maintained so that in steady sate, the mass of ice melting be equal to that of the steam produced in same interval of time? Assume that the whole system is insulated from surroundings $open parentheses L subscript text ice end text end subscript equals 80 c a l divided by g m close text end text$ and $text end text open L subscript text steam end text end subscript equals 540 c a l divided by g m close parentheses$

physics-General

If A = $open square brackets table row 1 2 3 row 2 3 4 row 0 0 2 end table close square brackets$ , then the value of adj (adj A) is -

If A = $open square brackets table row 1 2 3 row 2 3 4 row 0 0 2 end table close square brackets$ , then the value of adj (adj A) is -

The curves for potential energy (U) and kinetic energy $left parenthesis E subscript k end subscript right parenthesis$ of a two particle system are shown in figure. At what points the system will be bound?

The curves for potential energy (U) and kinetic energy $left parenthesis E subscript k end subscript right parenthesis$ of a two particle system are shown in figure. At what points the system will be bound?

physics-General

parallel

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