# IPMAT Question Paper 2019 | IPM Indore Quants

###### IPMAT Sample Paper | IPMAT Question Paper | Question 4

IPMAT 2019 Question Paper IPM Indore Quantitative Ability. Solve questions from IPMAT 2019 Question Paper from IPM Indore and check the solutions to get adequate practice. The best way to ace IPMAT is by solving IPMAT Question Paper. To solve other IPMAT Sample papers, go here: IPM Sample Paper

Question 4 : Let A, B, C be three 4 X 4 matrices such that det A = 5, det B = -3, and det C = $$frac{1}{2}\\$. Then the det$2AB-1C3BT) is

## Best CAT Coaching in Chennai

#### CAT Coaching in Chennai - CAT 2022Limited Seats Available - Register Now!

Let us recall a few properties of determinants.

det(kA) = kn det(A), where A is a Square Matrix
n is the order of the Square Matrix
k is some scalar constant
det(AB) = det(A) * det(B), where A,B are two matrices compatible for multiplication.
det(A-1)=$$frac{1}{det$A$}$ where A-1 is the inverse of matrix A. det$AT)= det(A) where AT is the transpose of matrix A.

Using the above properties,
det(2AB-1C3BT) = det(2A) * det(B-1) * det(C3) * det(BT)
= 24 det(A) * $$frac{1}{det$B$}$ * det$C) * det(C) * det(C) * det(B)
= 16 * 5 * $$frac{1}{-3}\\$ * $\frac{1}{2}\\$ * $\frac{1}{2}\\$ * $\frac{1}{2}\\$ * -3 = 10. The question is "Let A, B, C be three 4 X 4 matrices such that det A = 5, det B = -3, and det C = $\frac{1}{2}\\$. Then the det$2AB-1C3BT) is"

##### Where is 2IIM located?

2IIM Online CAT Coaching
A Fermat Education Initiative,
58/16, Indira Gandhi Street,
Kaveri Rangan Nagar, Saligramam, Chennai 600 093

##### How to reach 2IIM?

Mobile: (91) 99626 48484 / 94459 38484
WhatsApp: WhatsApp Now
Email: info@2iim.com