Explanation

A matrix has an inverse only if its determinant is non-zero, meaning it is non-singular.

Singular matrices (with determinant = 0) do not have an inverse.

Explanation

Free and Liberate are synonyms (both mean to set free).

Covered and Concealed are also synonyms (both mean hidden or not visible).

Explanation

The Law of Excluded Middle states that for any proposition, either it is true or its negation is true—no third option exists.

It is a fundamental principle in classical logic.

Explanation

Explanation

Assessment recognizes that learning is a continuous process and can change over time.

It helps track students’ progress and adapts teaching accordingly.

Explanation

Learner involvement means active participation, which is key in student-centered instruction.

It shifts the focus from teacher-led to learner-driven learning.

Explanation

Explanation

وہ ضمیر جو کلام کرنے والا (متکلم) اپنے لیے استعمال کرے جیسے "میں" یا "ہم"، اسے ضمیر متکلم کہتے ہیں۔

یہ ضمیر بولنے والے کی طرف اشارہ کرتے ہیں، نہ کہ سننے والے یا کسی تیسرے فرد کی طرف۔

Explanation

Explanation

Even though means despite the fact that.

Even though اس حقیقت کے باوجود

"Even though" is used to show contrast between two clauses — bad weather vs. going outside.

It correctly introduces the unexpected action despite the horrible weather.