Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Offsite Campus Turito Championship

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

Maths-

General

Easy

Question

A and B are two given matrices such that the order of A is 3 × 4, If A'B and BA' are both defined then:

order of B' is 3 × 4
order of B'A is 4 × 4
order of B'A is 3 × 3
B'A is not defined

The correct answer is: order of B'A is 4 × 4

Let order of B is m × n
$therefore$ A'B is define so m = 3
$therefore$ BA' is define so n = 4

Related Questions to study

If A is an involuntary matrix given byA = $open square brackets table row 0 1 cell negative 1 end cell row 4 cell negative 3 end cell 4 row 3 cell negative 3 end cell 4 end table close square brackets$ then the inverse of $fraction numerator A over denominator 2 end fraction$ will be

If A is an involuntary matrix given byA = $open square brackets table row 0 1 cell negative 1 end cell row 4 cell negative 3 end cell 4 row 3 cell negative 3 end cell 4 end table close square brackets$ then the inverse of $fraction numerator A over denominator 2 end fraction$ will be

Matrix A = $open square brackets table row x 3 2 row 1 y 4 row 2 2 z end table close square brackets$ , If xyz = 60 and 8x + 4y + 3z = 20, then A(adj A) is equal to:

Matrix A = $open square brackets table row x 3 2 row 1 y 4 row 2 2 z end table close square brackets$ , If xyz = 60 and 8x + 4y + 3z = 20, then A(adj A) is equal to:

Let A = $open square brackets table row 1 0 0 row 2 1 0 row 3 2 1 end table close square brackets$ . If U₁, U₂, U₃ are column matrices satisfying AU₁ = $open square brackets table row 1 row 0 row 0 end table close square brackets$ , AU₂ = $open square brackets table row 2 row 3 row 0 end table close square brackets$ , AU₃ = $open square brackets table row 2 row 3 row 1 end table close square brackets$ and U is 3 × 3 matrix whose columns are U₁, U₂ and U₃. Then |U| =

Let A = $open square brackets table row 1 0 0 row 2 1 0 row 3 2 1 end table close square brackets$ . If U₁, U₂, U₃ are column matrices satisfying AU₁ = $open square brackets table row 1 row 0 row 0 end table close square brackets$ , AU₂ = $open square brackets table row 2 row 3 row 0 end table close square brackets$ , AU₃ = $open square brackets table row 2 row 3 row 1 end table close square brackets$ and U is 3 × 3 matrix whose columns are U₁, U₂ and U₃. Then |U| =

parallel

If the matrix A = $open square brackets table row 8 cell – 6 end cell 2 row cell – 6 end cell 7 cell – 4 end cell row 2 cell – 4 end cell lambda end table close square brackets$ is singular, then λ equal to -

If the matrix A = $open square brackets table row 8 cell – 6 end cell 2 row cell – 6 end cell 7 cell – 4 end cell row 2 cell – 4 end cell lambda end table close square brackets$ is singular, then λ equal to -

If AB = I and B = A' then :

If AB = I and B = A' then :

If A and B are square matrices of same size and |B| $not equal to$ 0, then (B^–1 AB)⁴ =

If A and B are square matrices of same size and |B| $not equal to$ 0, then (B^–1 AB)⁴ =

parallel

If B is non-singular matrix and A is a square matrix of same size, then det (B^–1AB) =

If B is non-singular matrix and A is a square matrix of same size, then det (B^–1AB) =

If A satisfies the equation x³ – 5x² + 4x + k = 0, then A^–1 exists if -

If A satisfies the equation x³ – 5x² + 4x + k = 0, then A^–1 exists if -

If 3A = $open square brackets table row 1 2 2 row 2 1 cell – 2 end cell row x 2 y end table close square brackets$ and A is orthogonal, then x + y =

If 3A = $open square brackets table row 1 2 2 row 2 1 cell – 2 end cell row x 2 y end table close square brackets$ and A is orthogonal, then x + y =

parallel

If A, B are symmetric matrices of the same order then (AB – BA) is -

If A, B are symmetric matrices of the same order then (AB – BA) is -

If A = $open square brackets table row 4 cell x plus 2 end cell row cell 2 x – 3 end cell cell x plus 1 end cell end table close square brackets$ is symmetric, then x =

If A = $open square brackets table row 4 cell x plus 2 end cell row cell 2 x – 3 end cell cell x plus 1 end cell end table close square brackets$ is symmetric, then x =

If the rank of the matrix $open square brackets table row 4 2 cell 1 minus x end cell row 5 k 1 row 6 3 cell 1 plus x end cell end table close square brackets$ is 2 then

If the rank of the matrix $open square brackets table row 4 2 cell 1 minus x end cell row 5 k 1 row 6 3 cell 1 plus x end cell end table close square brackets$ is 2 then

parallel

If A = $open square brackets table row cell cos invisible function application theta end cell cell – sin invisible function application theta end cell row cell sin invisible function application theta end cell cell cos invisible function application theta end cell end table close square brackets$ , then A^T + A = I₂, if –

If A = $open square brackets table row cell cos invisible function application theta end cell cell – sin invisible function application theta end cell row cell sin invisible function application theta end cell cell cos invisible function application theta end cell end table close square brackets$ , then A^T + A = I₂, if –

If A = $open square brackets table row alpha 0 row 1 1 end table close square brackets$ and B = $open square brackets table row 1 0 row 3 1 end table close square brackets$ , then value of $alpha$ for which A² = B is:

If A = $open square brackets table row alpha 0 row 1 1 end table close square brackets$ and B = $open square brackets table row 1 0 row 3 1 end table close square brackets$ , then value of $alpha$ for which A² = B is:

Which of the following has no action with starch solution?

Which of the following has no action with starch solution?

chemistry-General

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.