Given below are two statements. STATEMENT - 1: For a singular square matrix A, AB = AC ⇒…
Mathematics · JEE Main · NTA Exams — Matrices and Determinants
Given below are two statements.
STATEMENT - 1: For a singular square matrix A, AB = AC \(\text { ⇒ }\) B = C
STATEMENT - 2: If |A| = 0, then A-1 does not exist.
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation of Statement - 1
- Both the statements are true and Statement - 2 is not the correct explanation of Statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(D) Statement - 1 is false and Statement - 2 is true
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If A = [a ij ] is a square matrix of order n × n and k is a scalar, then | kA | =
- The rank of matrix A= [ array rrrr 4 & 4 & 0 & 3 -2 & 3 & -1 & 5 1 & 4 & 8 & 7 array ] is :
- The number of values of k, for which the system of equations: array l (k+1) x+8 y=4 k k x+(k+3) y=3 k-1 array…
- If A= [ array ll 1 & 1 1 & 1 array ] . then A ^ 1 is equal to
- Let A= ( array ccr 1 & -1 & 1 2 & 1 & -3 1 & 1 & 1 array ) and 108= ( array lcc 4 & 2 & 2 -5 & 0 & x 1 & -2 &…
- If the system of linear equations array l 2 x+2 a y+a z=0 2 x+3 b y+b z=0 2 x+4 c y+c z=0 array where a, b, c…
- The set of all values of for which the system of linear equations array l x-2 y-2 z= x x+2 y+z= y -x-y= z…
- Consider the system of linear equations: x 1 + 2x 2 + x 3 = 3, 2x 1 + 3x 2 + x 3 = 3, 3x 1 + 5x 2 + 2x 3 = 1…
More Matrices and Determinants questions · Browse all practice questions