Jobs By Abekus

Linear-algebra Questions Set 2:

Quiz Mode

If vector A = 2i + j + 4k and B = i + j - 2k, find the magnitude of 2A + 4B.

Solution:

If P and Q are roots of quadratic equation x² + 3x + 4 = 0, then P + Q + PQ =

Solution:

Find the difference between the roots of the quadratic equation x² − 9x + 20 = 0

Solution:

The sum of two numbers is 18, and the product of these two numbers is 56. What are the numbers?

12, 6

13, 5

11, 7

14, 4

Solution:

Find the sum of squares of length and breadth of a rectangle whose length is 5 cm longer than its breadth and whose area is 50 cm².

Solution:

Find the polynomial equation whose roots are x = ±2 and x = 5

x³ − 5x² − 4x + 20 = 0

x³ − 5x² + 4x + 20 = 0

x³ + 5x² - 4x - 20 = 0

Solution:

Find the quadratic polynomial whose sum and product of zeroes - 1 and - 20 respectively.

x² + x + 10 = 0

x² + x - 20 = 0

x² - x - 20 = 0

x² + 2x + 10 = 0

Solution:

The inverse of the matrix [ 3+2i i; -i 3-2i ] is

1/12[ 3+2i -i; i 3-2i ]

1/12*[ 3-2i -i; i 3+2i ]

1/14[ 3+2i -i; i 3-2i ]

1/12[ 3-2i -i; i 3+2i ]

Solution:

Given matrices A, B and matrix C = 2A + B.
find the product of possible values of p, if det (C) = - 968.
A =
[[1 0 3]
[p 5 4p]
[2 12 5]]
B =
[[0 p 3]
[-2p 1 -p]
[8 5 0]]

Solution:

What is the defining characteristic of a square matrix that is called singular?

The determinant is zero

The determinant is unity

The determinant is infinity

The rank is unity

Linear-algebra Questions Set 2:

If vector A = 2i + j + 4k and B = i + j - 2k, find the magnitude of 2A + 4B.

Solution:

If P and Q are roots of quadratic equation x² + 3x + 4 = 0, then P + Q + PQ =

Solution:

Find the difference between the roots of the quadratic equation x² − 9x + 20 = 0

Solution:

The sum of two numbers is 18, and the product of these two numbers is 56. What are the numbers?

Solution:

Find the sum of squares of length and breadth of a rectangle whose length is 5 cm longer than its breadth and whose area is 50 cm².

Solution:

Find the polynomial equation whose roots are x = ±2 and x = 5

Solution:

Find the quadratic polynomial whose sum and product of zeroes - 1 and - 20 respectively.

Solution:

The inverse of the matrix [ 3+2i i; -i 3-2i ] is

Solution:

Given matrices A, B and matrix C = 2A + B.
find the product of possible values of p, if det (C) = - 968.
A =
[[1 0 3]
[p 5 4p]
[2 12 5]]
B =
[[0 p 3]
[-2p 1 -p]
[8 5 0]]

Solution:

What is the defining characteristic of a square matrix that is called singular?

Solution:

Related Question Sets:

Related Topics:

Linear-algebra Questions Set 2:

If vector A = 2i + j + 4k and B = i + j - 2k, find the magnitude of 2A + 4B.

Solution:

If P and Q are roots of quadratic equation x2 + 3x + 4 = 0, then P + Q + PQ =

Solution:

Find the difference between the roots of the quadratic equation x2 − 9x + 20 = 0

Solution:

The sum of two numbers is 18, and the product of these two numbers is 56. What are the numbers?

Solution:

Find the sum of squares of length and breadth of a rectangle whose length is 5 cm longer than its breadth and whose area is 50 cm2.

Solution:

Find the polynomial equation whose roots are x = ±2 and x = 5

Solution:

Find the quadratic polynomial whose sum and product of zeroes - 1 and - 20 respectively.

Solution:

The inverse of the matrix [ 3+2i i; -i 3-2i ] is

Solution:

Given matrices A, B and matrix C = 2A + B.find the product of possible values of p, if det (C) = - 968.A =[[1 0 3][p 5 4p][2 12 5]]B =[[0 p 3][-2p 1 -p] [8 5 0]]

Solution:

What is the defining characteristic of a square matrix that is called singular?

Solution:

Related Question Sets:

Related Topics:

If P and Q are roots of quadratic equation x² + 3x + 4 = 0, then P + Q + PQ =

Find the difference between the roots of the quadratic equation x² − 9x + 20 = 0

Find the sum of squares of length and breadth of a rectangle whose length is 5 cm longer than its breadth and whose area is 50 cm².

Given matrices A, B and matrix C = 2A + B.
find the product of possible values of p, if det (C) = - 968.
A =
[[1 0 3]
[p 5 4p]
[2 12 5]]
B =
[[0 p 3]
[-2p 1 -p]
[8 5 0]]