Bissoy.com
Doctors Medicines MCQs Q&A

If (AB + B)T = BTX  then X is equal to ?

If (AB + B)T = BTX  then X is equal to ? Correct Answer A<sup>T</sup> + I

Concept:

Transpose of a sum: The transpose of the sum of two matrices is equivalent to the sum of their transposes: (A + B)T = AT + BT

Transpose of a product: The transpose of the product of two matrices is equivalent to the product of their transposes in reversed order: (AB)T = BT AT

Calculation:

Given: (AB + B)T = BTX

⇒ (AB + B)T 

= (AB)T + BT

= BTAT + BTI

= BT (AT + I) = BT X

∴ X = (AT + I)

Related Questions

For realizing a binary half-subtractor having two inputs A and B, the current set of logical expression for the outputs D (A minus B) and X (borrow) are 1. The difference output D = A̅B + AB̅ 2. The borrow output B = AB̅ Which of the above statements is/are correct? 
The terminology 'BTX' used in coal tar distillation industry refers to
Which of the following statements are true relating to payment of equal pay for equal work both for men and women?
1. ILO adopted equal remuneration Convention No. 100 in 1951.
2. India ratified ILO's Equal Remuneration Convention No. 100 in the year 1956.
3. Provisions relating to equal pay for equal work for both men and women are provided under Article 42 of the Indian Constitution.
4. The Equal Remuneration Ordinance was promulgated on 26th September, 1975.
Two metallic balls when completely immersed in water have equal upthrust on them, then which statement is correct: a) Both balls must have equal weights b) Both balls must have equal densities c) Both balls must have an equal volume
“What is the different between height and radius of solid cylinder?” Which of the following option is sufficient alone to find the answer? A) A solid cylinder is made by melting a solid sphere. The radius of cylinder is 3 times the radius of a circle whose area is 154 sq.m. Height of cylinder is equal to the height of cone whose volume is 2772 cubic meters. B) Area of a rectangle whose longer side is ¾ times the radius of a solid cylinder, is 168 sq.m and, Volume of solid cylinder is 2772 cubic meters and its height is 18 m. C) A metallic cone of radius 15m and height 35m is melted into the solid cylinder of radius equal to the radius of a circle whose area is equal to the area of rectangle whose sides are in the ratio 4 : 3 respectively. D) The curved surface area of the solid cylinder is 3 time the surface area of a sphere of radius 7m and height of cylinder is equal to the height of a metallic cone whose curved surface area is 308 sq.m. 
There is a rhombus of side 6 cm. One of the diagonal of the rhombus is equal to the side of the rhombus. An isosceles triangle is formed whose two equal sides are equal to another diagonal of the rhombus and the third side is equal to 8 cm. Find the area of the triangle.
Necessary condition for obtaining an interference pattern when light waves (of same frequency) from two points S1 and S2 superpose is:   Intensity of two waves Phase difference between the two waves at S1 and S2 must be 1) Must be equal Zero 2) Must be equal π  3) Must be equal Constant with time but not necessarily zero 4) Need not be equal Constant with time but not necessarily zero
Among the following propositions two are related in such a way that one is the denial of the other. Which are those propositions ? Select the correct code : Propositions : (a) All women are equal to men (b) Some women are equal to men (c) Some women are not equal to men (d) No women are equal to men
Two right angled triangles are congruent if :
I. The hypotenuse of one triangle is equal to the hypotenuse of the other.
II. A side for one triangle is equal to the corresponding side of the other.
III. Sides of the triangles are equal.
IV. An angle of the triangle are equal.
Of these statements, the correct ones are combination of:
Marginal cost is equal to marginal revenue, average cost is equal to average revenue, average revenue is equal to marginal revenue and average cost is equal to marginal cost. This is the condition of
1. long period equilibrium for a firm under monopoly
2. short period equilibrium for a firm under oligopoly
3. long period equilibrium
4. long period equilibrium for a firm under perfect competitions
Select the correct answer