Home › JEE Advanced › Algebra › For matrix addition $A+B$ to be defined, which c…
For matrix addition $A+B$ to be defined, which condition must hold?
A$A$ and $B$ must both be square
BNumber of rows of $A$ must equal number of columns of $B$
C$A$ and $B$ must be of the same order
DThe determinant of each matrix must exist
Answer & Solution
Correct answer: C. $A$ and $B$ must be of the same order
Matrix addition is defined only when corresponding entries can be added, so the two matrices must have the same order. Being square is not necessary, and determinant is irrelevant for addition.
Related questions
Simplifying an equation, a student reaches a statement that can never be true. The equatioAfter squaring both sides of a radical equation, a student finds a root that fails the oriSolving such an equation, a student clears every denominator at once by multiplying througAn equation contains at least one rational expression, with a variable in a denominator. TTo clear a complex number from a denominator, a student multiplies by the term found by flComplex numbers cannot sit on an ordinary number line, so they are plotted on a plane whosRather than drawing a number line, a student writes the solution set with brackets and parA statement joins two inequalities together in one line, such as 2 < x < 7. That statement