Explanation

Every matrix has an additive inverse, which is the matrix with all elements negated.

Not every matrix has a multiplicative inverse (only square, non-singular ones do).

Explanation

Class interval is the difference between the upper (or lower) limits of two consecutive classes.

It shows the width of each class in a frequency distribution table.

Explanation

"Where" is used to refer to places in relative clauses.

Correct sentence: "Do you remember the town where you were born?"

Explanation

Deprive means کسی چیز کو لے جانے یا کسی چیز سے انکار کرنے کے لئے

Provide means کچھ دینے یا سپلائی کرنے کے لئے

Explanation

The sentence asks a question, beginning with "What kind of," which makes it interrogative.

Interrogative sentences are used to seek information and end with a question mark (?).

Explanation

Teaching involves direct interaction between a teacher (human) and students.

It contrasts with non-human methods like videos or software, which lack real-time human facilitation.

Explanation

To find the weighted mean:

Step 1: Calculate the weighted sum

Weighted sum = (18_2) + (19_3) + (20_4) + (21_2) + (22_1) + (23_1) + (24*1)

= 36 + 57 + 80 + 42 + 22 + 23 + 24

= 284

Step 2: Calculate the total weight

Total weight = 2 + 3 + 4 + 2 + 1 + 1 + 1

= 14

Step 3: Calculate the weighted mean

Weighted mean = Weighted sum / Total weight

= 284 / 14

= 20.286

Explanation

A hand drill uses two mutually perpendicular gears to convert rotary motion.

This mechanism increases torque and helps in efficient drilling.

Explanation

The number of binary relations in A × B is the number of subsets of A × B.

A has 2 elements and B has 3 elements, so A × B has 2 * 3 = 6 elements.

The number of subsets of A × B is 2^(number of elements in A × B)

= 2^6

Explanation

Allusion is a literary device that makes a brief, indirect reference to a person, event, or thing from history, literature, religion, or culture.

It assumes the reader is familiar with the reference and uses it to deepen meaning or context.